12-(5-7x)=-3(x+7)-12

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Solution for 12-(5-7x)=-3(x+7)-12 equation:


Simplifying
12 + -1(5 + -7x) = -3(x + 7) + -12
12 + (5 * -1 + -7x * -1) = -3(x + 7) + -12
12 + (-5 + 7x) = -3(x + 7) + -12

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

Reorder the terms:
7 + 7x = -3(7 + x) + -12
7 + 7x = (7 * -3 + x * -3) + -12
7 + 7x = (-21 + -3x) + -12

Reorder the terms:
7 + 7x = -21 + -12 + -3x

Combine like terms: -21 + -12 = -33
7 + 7x = -33 + -3x

Solving
7 + 7x = -33 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 7x + 3x = -33 + -3x + 3x

Combine like terms: 7x + 3x = 10x
7 + 10x = -33 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 10x = -33 + 0
7 + 10x = -33

Add '-7' to each side of the equation.
7 + -7 + 10x = -33 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = -33 + -7
10x = -33 + -7

Combine like terms: -33 + -7 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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