SOLUTION: 8(5x-1)+36=-3(x+5)

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Question 42964: 8(5x-1)+36=-3(x+5)
Answer by aaaaaaaa(138) 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=-1.
  • Graphical form: Equation 8%2A%285x-1%29%2B36=-3%2A%28x%2B5%29 was fully solved.
  • Text form: 8*(5x-1)+36=-3*(x+5) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+8%2A%285x-1%29%2B36=-3%2A%28x%2B5%29+%29
    For tutors: simplify_cartoon( 8*(5x-1)+36=-3*(x+5) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 8%2A%285%2Ax-1%29%2B36=highlight_red%28+-3%2A%28x%2B5%29+%29.
Moved these terms to the left highlight_green%28+3%2A%28x%2B5%29+%29
It becomes 8%2A%285%2Ax-1%29%2B36%2Bhighlight_green%28+3%2A%28x%2B5%29+%29=0.
Look at 8%2A%285%2Ax-1%29%2Bhighlight_red%28+36+%29%2B3%2A%28x%2B5%29=0.
Moved 36 to the right of expression
It becomes 8%2A%285%2Ax-1%29%2B3%2A%28x%2B5%29%2Bhighlight_green%28+36+%29=0.
Look at highlight_red%28+8%2A%285%2Ax-1%29+%29%2B3%2A%28x%2B5%29%2B36=0.
Expanded term 8 by using associative property on %285%2Ax-1%29
It becomes highlight_green%28+8%2A5%2Ax+%29-highlight_green%28+8%2A1+%29%2B3%2A%28x%2B5%29%2B36=0.
Look at highlight_red%28+8+%29%2Ahighlight_red%28+5+%29%2Ax-8%2A1%2B3%2A%28x%2B5%29%2B36=0.
Multiplied numerator integers
It becomes highlight_green%28+40+%29%2Ax-8%2A1%2B3%2A%28x%2B5%29%2B36=0.
Look at 40%2Ax-highlight_red%28+8+%29%2Ahighlight_red%28+1+%29%2B3%2A%28x%2B5%29%2B36=0.
Multiplied numerator integers
It becomes 40%2Ax-highlight_green%28+8+%29%2B3%2A%28x%2B5%29%2B36=0.
Look at 40%2Ax-highlight_red%28+8+%29%2B3%2A%28x%2B5%29%2Bhighlight_red%28+36+%29=0.
Added fractions or integers together
It becomes 40%2Ax%2Bhighlight_green%28+28+%29%2B3%2A%28x%2B5%29=0.
Look at 40%2Ax%2Bhighlight_red%28+28+%29%2B3%2A%28x%2B5%29=0.
Moved 28 to the right of expression
It becomes 40%2Ax%2B3%2A%28x%2B5%29%2Bhighlight_green%28+28+%29=0.
Look at 40%2Ax%2Bhighlight_red%28+3%2A%28x%2B5%29+%29%2B28=0.
Expanded term 3 by using associative property on %28x%2B5%29
It becomes 40%2Ax%2Bhighlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A5+%29%2B28=0.
Look at 40%2Ax%2B3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29%2B28=0.
Multiplied numerator integers
It becomes 40%2Ax%2B3%2Ax%2Bhighlight_green%28+15+%29%2B28=0.
Look at 40%2Ax%2B3%2Ax%2Bhighlight_red%28+15+%29%2Bhighlight_red%28+28+%29=0.
Added fractions or integers together
It becomes 40%2Ax%2B3%2Ax%2Bhighlight_green%28+43+%29=0.
Look at highlight_red%28+40%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29%2B43=0.
Eliminated similar terms highlight_red%28+40%2Ax+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%2840%2B3%29%2Ax+%29
It becomes highlight_green%28+%2840%2B3%29%2Ax+%29%2B43=0.
Look at %28highlight_red%28+40+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B43=0.
Added fractions or integers together
It becomes %28highlight_green%28+43+%29%29%2Ax%2B43=0.
Look at highlight_red%28+%28highlight_red%28+43+%29%29%2Ax+%29%2B43=0.
Remove unneeded parentheses around factor highlight_red%28+43+%29
It becomes highlight_green%28+43+%29%2Ax%2B43=0.
Look at highlight_red%28+43%2Ax%2B43+%29=0.
Solved linear equation highlight_red%28+43%2Ax%2B43=0+%29 equivalent to 43*x+43 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1.

Universal Simplifier and Solver


Done!


By the steps above described, we can simplify the equation to 43x + 43 = 0. It doesn't describe how to solve it, so here it is. Hope you understand everything well.
Solved by pluggable solver: SOLVE a linear equation
Solve 43%2Ax%2B43=0. Move 43 to the right: 43%2Ax=0-43. Divide by 43: x=%280-43%29%2F43=-43%2F43+=+-1