SOLUTION: Solve algebraically for the variable: x + 2 = 4 (3x -2) I got this: x + 2 = 12x - 8 2= 11x - 8 10 = 11x 10/11 = x <-------- answer Is this correct?

Algebra ->  Expressions -> SOLUTION: Solve algebraically for the variable: x + 2 = 4 (3x -2) I got this: x + 2 = 12x - 8 2= 11x - 8 10 = 11x 10/11 = x <-------- answer Is this correct?      Log On


   

Question 19119: Solve algebraically for the variable:
x + 2 = 4 (3x -2)
I got this:
x + 2 = 12x - 8
2= 11x - 8
10 = 11x
10/11 = x <-------- answer
Is this correct?
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=0.909090909090909.
  • Graphical form: Equation x%2B2=4%2A%283x-2%29 was fully solved.
  • Text form: x+2=4*(3x-2) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B2=4%2A%283x-2%29+%29
    For tutors: simplify_cartoon( x+2=4*(3x-2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2B2=highlight_red%28+4%2A%283%2Ax-2%29+%29.
Moved these terms to the left highlight_green%28+-4%2A%283%2Ax-2%29+%29
It becomes x%2B2-highlight_green%28+4%2A%283%2Ax-2%29+%29=0.
Look at x%2Bhighlight_red%28+2+%29-4%2A%283%2Ax-2%29=0.
Moved 2 to the right of expression
It becomes x-4%2A%283%2Ax-2%29%2Bhighlight_green%28+2+%29=0.
Look at x-highlight_red%28+4%2A%283%2Ax-2%29+%29%2B2=0.
Expanded term -4 by using associative property on %283%2Ax-2%29
It becomes x-highlight_green%28+4%2A3%2Ax+%29%2Bhighlight_green%28+4%2A2+%29%2B2=0.
Look at x-highlight_red%28+4+%29%2Ahighlight_red%28+3+%29%2Ax%2B4%2A2%2B2=0.
Multiplied numerator integers
It becomes x-highlight_green%28+12+%29%2Ax%2B4%2A2%2B2=0.
Look at x-12%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2B2=0.
Multiplied numerator integers
It becomes x-12%2Ax%2Bhighlight_green%28+8+%29%2B2=0.
Look at x-12%2Ax%2Bhighlight_red%28+8+%29%2Bhighlight_red%28+2+%29=0.
Added fractions or integers together
It becomes x-12%2Ax%2Bhighlight_green%28+10+%29=0.
Look at highlight_red%28+x+%29-highlight_red%28+12%2Ax+%29%2B10=0.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+-12%2Ax+%29 replacing them with highlight_green%28+%281-12%29%2Ax+%29
It becomes highlight_green%28+%281-12%29%2Ax+%29%2B10=0.
Look at %28highlight_red%28+1+%29-highlight_red%28+12+%29%29%2Ax%2B10=0.
Added fractions or integers together
It becomes %28highlight_green%28+-11+%29%29%2Ax%2B10=0.
Look at %28highlight_red%28+-11+%29%29%2Ax%2B10=0.
Removed extra sign in front of -11
It becomes %28-highlight_green%28+11+%29%29%2Ax%2B10=0.
Look at highlight_red%28+%28-highlight_red%28+11+%29%29%2Ax+%29%2B10=0.
Remove unneeded parentheses around factor highlight_red%28+11+%29
It becomes -highlight_green%28+11+%29%2Ax%2B10=0.
Look at highlight_red%28+-11%2Ax%2B10+%29=0.
Solved linear equation highlight_red%28+-11%2Ax%2B10=0+%29 equivalent to -11*x+10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.909090909090909.

Universal Simplifier and Solver


Done!

Yes you answer is correct.
My answer is in decimal form and when you convert it, it becomes 10%2F11
Hope this helps!