7(18-x)-6(3-5x)=-(7x+9)-3(2x+8)-12

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Solution for 7(18-x)-6(3-5x)=-(7x+9)-3(2x+8)-12 equation: 


Simplifying
7(18 + -1x) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 8) + -12
(18 * 7 + -1x * 7) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 8) + -12
(126 + -7x) + -6(3 + -5x) = -1(7x + 9) + -3(2x + 8) + -12
126 + -7x + (3 * -6 + -5x * -6) = -1(7x + 9) + -3(2x + 8) + -12
126 + -7x + (-18 + 30x) = -1(7x + 9) + -3(2x + 8) + -12

Reorder the terms:
126 + -18 + -7x + 30x = -1(7x + 9) + -3(2x + 8) + -12

Combine like terms: 126 + -18 = 108
108 + -7x + 30x = -1(7x + 9) + -3(2x + 8) + -12

Combine like terms: -7x + 30x = 23x
108 + 23x = -1(7x + 9) + -3(2x + 8) + -12

Reorder the terms:
108 + 23x = -1(9 + 7x) + -3(2x + 8) + -12
108 + 23x = (9 * -1 + 7x * -1) + -3(2x + 8) + -12
108 + 23x = (-9 + -7x) + -3(2x + 8) + -12

Reorder the terms:
108 + 23x = -9 + -7x + -3(8 + 2x) + -12
108 + 23x = -9 + -7x + (8 * -3 + 2x * -3) + -12
108 + 23x = -9 + -7x + (-24 + -6x) + -12

Reorder the terms:
108 + 23x = -9 + -24 + -12 + -7x + -6x

Combine like terms: -9 + -24 = -33
108 + 23x = -33 + -12 + -7x + -6x

Combine like terms: -33 + -12 = -45
108 + 23x = -45 + -7x + -6x

Combine like terms: -7x + -6x = -13x
108 + 23x = -45 + -13x

Solving
108 + 23x = -45 + -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 = -45 + -13x + 13x

Combine like terms: 23x + 13x = 36x
108 + 36x = -45 + -13x + 13x

Combine like terms: -13x + 13x = 0
108 + 36x = -45 + 0
108 + 36x = -45

Add '-108' to each side of the equation.
108 + -108 + 36x = -45 + -108

Combine like terms: 108 + -108 = 0
0 + 36x = -45 + -108
36x = -45 + -108

Combine like terms: -45 + -108 = -153
36x = -153

Divide each side by '36'.
x = -4.25

Simplifying
x = -4.25

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