7(18-x)-6(3-5x)=-(7x-9)-3(2x+5)-12

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Solution for 7(18-x)-6(3-5x)=-(7x-9)-3(2x+5)-12 equation: 


Simplifying
7(18 + -1x) + -6(3 + -5x) = -1(7x + -9) + -3(2x + 5) + -12
(18 * 7 + -1x * 7) + -6(3 + -5x) = -1(7x + -9) + -3(2x + 5) + -12
(126 + -7x) + -6(3 + -5x) = -1(7x + -9) + -3(2x + 5) + -12
126 + -7x + (3 * -6 + -5x * -6) = -1(7x + -9) + -3(2x + 5) + -12
126 + -7x + (-18 + 30x) = -1(7x + -9) + -3(2x + 5) + -12

Reorder the terms:
126 + -18 + -7x + 30x = -1(7x + -9) + -3(2x + 5) + -12

Combine like terms: 126 + -18 = 108
108 + -7x + 30x = -1(7x + -9) + -3(2x + 5) + -12

Combine like terms: -7x + 30x = 23x
108 + 23x = -1(7x + -9) + -3(2x + 5) + -12

Reorder the terms:
108 + 23x = -1(-9 + 7x) + -3(2x + 5) + -12
108 + 23x = (-9 * -1 + 7x * -1) + -3(2x + 5) + -12
108 + 23x = (9 + -7x) + -3(2x + 5) + -12

Reorder the terms:
108 + 23x = 9 + -7x + -3(5 + 2x) + -12
108 + 23x = 9 + -7x + (5 * -3 + 2x * -3) + -12
108 + 23x = 9 + -7x + (-15 + -6x) + -12

Reorder the terms:
108 + 23x = 9 + -15 + -12 + -7x + -6x

Combine like terms: 9 + -15 = -6
108 + 23x = -6 + -12 + -7x + -6x

Combine like terms: -6 + -12 = -18
108 + 23x = -18 + -7x + -6x

Combine like terms: -7x + -6x = -13x
108 + 23x = -18 + -13x

Solving
108 + 23x = -18 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
108 + 23x + 13x = -18 + -13x + 13x

Combine like terms: 23x + 13x = 36x
108 + 36x = -18 + -13x + 13x

Combine like terms: -13x + 13x = 0
108 + 36x = -18 + 0
108 + 36x = -18

Add '-108' to each side of the equation.
108 + -108 + 36x = -18 + -108

Combine like terms: 108 + -108 = 0
0 + 36x = -18 + -108
36x = -18 + -108

Combine like terms: -18 + -108 = -126
36x = -126

Divide each side by '36'.
x = -3.5

Simplifying
x = -3.5

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