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

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

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

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

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

Remove parenthesis around (9 + 7x)
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 = 1x
108 + 23x = -18 + 1x

Solving
108 + 23x = -18 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
108 + 23x + -1x = -18 + 1x + -1x

Combine like terms: 23x + -1x = 22x
108 + 22x = -18 + 1x + -1x

Combine like terms: 1x + -1x = 0
108 + 22x = -18 + 0
108 + 22x = -18

Add '-108' to each side of the equation.
108 + -108 + 22x = -18 + -108

Combine like terms: 108 + -108 = 0
0 + 22x = -18 + -108
22x = -18 + -108

Combine like terms: -18 + -108 = -126
22x = -126

Divide each side by '22'.
x = -5.727272727

Simplifying
x = -5.727272727

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