Algebra Solver and Math Simplifier that SHOWS WORK

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Expression Simplifier and Solver
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  • Graphical form: Equation 24%2Aa-8-10%2Aa=-2%2A%284-7%2Aa%29 was fully solved.
  • Text form: 24*a-8-10*a=-2*(4-7*a) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+24%2Aa-8-10%2Aa=-2%2A%284-7%2Aa%29+%29
    For tutors: simplify_cartoon( 24*a-8-10*a=-2*(4-7*a) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 24%2Aa-highlight_red%28+8+%29-10%2Aa=-2%2A%284-7%2Aa%29.
Moved -8 to the right of expression
It becomes 24%2Aa-10%2Aa-highlight_green%28+8+%29=-2%2A%284-7%2Aa%29.
Look at highlight_red%28+24%2Aa+%29-highlight_red%28+10%2Aa+%29-8=-2%2A%284-7%2Aa%29.
Eliminated similar terms highlight_red%28+24%2Aa+%29,highlight_red%28+-10%2Aa+%29 replacing them with highlight_green%28+%2824-10%29%2Aa+%29
It becomes highlight_green%28+%2824-10%29%2Aa+%29-8=-2%2A%284-7%2Aa%29.
Look at %28highlight_red%28+24+%29-highlight_red%28+10+%29%29%2Aa-8=-2%2A%284-7%2Aa%29.
Added fractions or integers together
It becomes %28highlight_green%28+14+%29%29%2Aa-8=-2%2A%284-7%2Aa%29.
Look at highlight_red%28+%28highlight_red%28+14+%29%29%2Aa+%29-8=-2%2A%284-7%2Aa%29.
Remove unneeded parentheses around factor highlight_red%28+14+%29
It becomes highlight_green%28+14+%29%2Aa-8=-2%2A%284-7%2Aa%29.
Look at 14%2Aa-8=-2%2A%28highlight_red%28+4+%29-7%2Aa%29.
Moved 4 to the right of expression
It becomes 14%2Aa-8=-2%2A%28-7%2Aa%2Bhighlight_green%28+4+%29%29.
Look at 14%2Aa-8=highlight_red%28+-2%2A%28-7%2Aa%2B4%29+%29.
Moved these terms to the left highlight_green%28+2%2A%28-7%2Aa%2B4%29+%29
It becomes 14%2Aa-8%2Bhighlight_green%28+2%2A%28-7%2Aa%2B4%29+%29=0.
Look at 14%2Aa-highlight_red%28+8+%29%2B2%2A%28-7%2Aa%2B4%29=0.
Moved -8 to the right of expression
It becomes 14%2Aa%2B2%2A%28-7%2Aa%2B4%29-highlight_green%28+8+%29=0.
Look at 14%2Aa%2Bhighlight_red%28+2%2A%28-7%2Aa%2B4%29+%29-8=0.
Expanded term 2 by using associative property on %28-7%2Aa%2B4%29
It becomes 14%2Aa-highlight_green%28+2%2A7%2Aa+%29%2Bhighlight_green%28+2%2A4+%29-8=0.
Look at 14%2Aa-highlight_red%28+2+%29%2Ahighlight_red%28+7+%29%2Aa%2B2%2A4-8=0.
Multiplied numerator integers
It becomes 14%2Aa-highlight_green%28+14+%29%2Aa%2B2%2A4-8=0.
Look at 14%2Aa-14%2Aa%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29-8=0.
Multiplied numerator integers
It becomes 14%2Aa-14%2Aa%2Bhighlight_green%28+8+%29-8=0.
Look at 14%2Aa-14%2Aa%2Bhighlight_red%28+8+%29-highlight_red%28+8+%29=0.
Added fractions or integers together
It becomes 14%2Aa-14%2Aa%2Bhighlight_green%28+0+%29=0.
Look at 14%2Aa-14%2Aa%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 14%2Aa-14%2Aa=0.
Look at highlight_red%28+14%2Aa+%29-highlight_red%28+14%2Aa+%29=0.
Eliminated similar terms highlight_red%28+14%2Aa+%29,highlight_red%28+-14%2Aa+%29 replacing them with highlight_green%28+%2814-14%29%2Aa+%29
It becomes highlight_green%28+%2814-14%29%2Aa+%29=0.
Look at highlight_red%28+%2814-14%29%2Aa+%29=0.
Since highlight_red%28+%2814-14%29%2Aa+%29 has zero as a factor, it should be replaced with a zero
Look at 0=0.
Added fractions or integers together
It becomes 0=0.
Result: 0=0

Universal Simplifier and Solver

Welcome to Graphical Universal Mathematical Expression Simplifier and Algebra Solver (GUMESS).
It solves most middle school algebra equations and simplifies expressions, and it SHOWS ALL WORK. It is free to use.

Enter expression to be simplified, or equation to be solved.
I will figure out if what you typed is an equation.

Enter Expression ==>     
Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)


Single letter variables only, no functions, xy means x*y, x(x-1) means x*(x-1), sin(x) means s*i*n*(x)


You must use the "*" (star) symbol for all multiplications! x(x+1) is WRONG! It means a function x of x-1. x*(x-1) is right. Use the ^ (caret) for exponentiation. x^2 means x squared. x/2y means x%2F2y
Resources: Simplifier Portal, help with entering simplifier formulas (a must read).


Or, click on any of these examples: 1, 2-1, 2%5E2-4%5E1, %281%29, -%28-1%29, %28%28%28%28x%29%29%29%29-x, -%28-%28-%28-%28-%28x%29%29%29%29%29%2Bx, %28%28%28%28x%29%29%29%29-y%2Ax%2A2%2Fy, %28x%2B1%29%2F%28x%2B1%29, %281%2Bx%29%2F%28x%2B1%29, %281%2Bx%29%2F%282%2A%28x%2B1%29%29, x-x%2Bx, x%2A%28y%2Az%29+-+%28x%2Ay%29%2Az, %28x-1%29%2A%28y-1%29-%28y-1%29%2A%28x-1%29, %28x-1%29%2A%28y-1%29-%28%28y-1%29%2Fx%29%5E%282-1%29%2A%28x-1%29%2Ax, 2%2A2%2A2%5E2%2Ax-x, 1%2F%282%2Bx%2Ay-y%2Ax%5E2%2F%28x%2B0%29%29, x%5E%28y%2Bz%29-x%5E%28z%2By%29, x-x%2F2, x=x, x%2B1=2, 0=5-x-7, %28x%5E2-x-2%29%2F%28%28x%2B1%29%2F%282x%2B2%29%29=0, %28x-1%29%28x-2%29%2F%28x%2B1%29=0, %28x%5E2-x-2%29=0, %28x%5E2-x-2%29%2A%28x%5E2-x-2%29%2F%28x%5E2%2B2%2Ax%2B1%29%2F%28x%5E2-4%2Ax%2B4%29, %28x%5E3-x%29%2Fx=0, %28x-1%29%2Fx=0, %282x%5E4-2%29%2F%28x-1%29=0, x%5E5-x%5E3=0, %28x-3%29%2A%28x%5E6-2x%5E3%2B1%29=0, , x%2A%28x-1%29%28x%2B1%29%2A%28x%5E3%2Bx%29, %28x-1%29%28x%2B1%29-3=0, %28x%5E2-1%29%28x%5E2%2B1%29-15=0, 1%2Fx%5E-1, x%2Fa%5E%28-5%29, x%2Aa%5E%28-5%29, x%5E-1, 2%2F6, 1%2F2-2%2F3, 1%2F2-1, 1%2F2-1%2B1%2F10, 1%2F2%2B2%2F3, 1%2F3%2B0.51, 1%2F3%2B0.5, x-x%2F3, 0.5x-x%2F3, 0.5x-2%2Ax%2F3, 1%2F2%2B1%2F3%2B1%2F6, %282x%2B2y%29%2F2, %28%28-4%2B10%29-%28-2%2B14%29%29%2F2%2A%282%29.
Please write to Igor Chudov, ichudov @ algebra.com, with questions or suggestions.

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This simplifier has been used 37277362 times.