(4x+7)-(12-9x)=86

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Solution for (4x+7)-(12-9x)=86 equation:


Simplifying
(4x + 7) + -1(12 + -9x) = 86

Reorder the terms:
(7 + 4x) + -1(12 + -9x) = 86

Remove parenthesis around (7 + 4x)
7 + 4x + -1(12 + -9x) = 86
7 + 4x + (12 * -1 + -9x * -1) = 86
7 + 4x + (-12 + 9x) = 86

Reorder the terms:
7 + -12 + 4x + 9x = 86

Combine like terms: 7 + -12 = -5
-5 + 4x + 9x = 86

Combine like terms: 4x + 9x = 13x
-5 + 13x = 86

Solving
-5 + 13x = 86

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 13x = 86 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = 86 + 5
13x = 86 + 5

Combine like terms: 86 + 5 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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