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

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


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

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

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

Combine like terms: 18 + -18 = 0
0 + -1x + 30x = -1(7x + 9) + -3(2x + 5) + -12
-1x + 30x = -1(7x + 9) + -3(2x + 5) + -12

Combine like terms: -1x + 30x = 29x
29x = -1(7x + 9) + -3(2x + 5) + -12

Reorder the terms:
29x = -1(9 + 7x) + -3(2x + 5) + -12
29x = (9 * -1 + 7x * -1) + -3(2x + 5) + -12
29x = (-9 + -7x) + -3(2x + 5) + -12

Reorder the terms:
29x = -9 + -7x + -3(5 + 2x) + -12
29x = -9 + -7x + (5 * -3 + 2x * -3) + -12
29x = -9 + -7x + (-15 + -6x) + -12

Reorder the terms:
29x = -9 + -15 + -12 + -7x + -6x

Combine like terms: -9 + -15 = -24
29x = -24 + -12 + -7x + -6x

Combine like terms: -24 + -12 = -36
29x = -36 + -7x + -6x

Combine like terms: -7x + -6x = -13x
29x = -36 + -13x

Solving
29x = -36 + -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.
29x + 13x = -36 + -13x + 13x

Combine like terms: 29x + 13x = 42x
42x = -36 + -13x + 13x

Combine like terms: -13x + 13x = 0
42x = -36 + 0
42x = -36

Divide each side by '42'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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