-(x+7)-5=4(x+3)-6x

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Solution for -(x+7)-5=4(x+3)-6x equation:


Simplifying
-1(x + 7) + -5 = 4(x + 3) + -6x

Reorder the terms:
-1(7 + x) + -5 = 4(x + 3) + -6x
(7 * -1 + x * -1) + -5 = 4(x + 3) + -6x
(-7 + -1x) + -5 = 4(x + 3) + -6x

Reorder the terms:
-7 + -5 + -1x = 4(x + 3) + -6x

Combine like terms: -7 + -5 = -12
-12 + -1x = 4(x + 3) + -6x

Reorder the terms:
-12 + -1x = 4(3 + x) + -6x
-12 + -1x = (3 * 4 + x * 4) + -6x
-12 + -1x = (12 + 4x) + -6x

Combine like terms: 4x + -6x = -2x
-12 + -1x = 12 + -2x

Solving
-12 + -1x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + -1x + 2x = 12 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-12 + 1x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 1x = 12 + 0
-12 + 1x = 12

Add '12' to each side of the equation.
-12 + 12 + 1x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 12 + 12
1x = 12 + 12

Combine like terms: 12 + 12 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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