-12(x+7)=3(x-53)

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Solution for -12(x+7)=3(x-53) equation:


Simplifying
-12(x + 7) = 3(x + -53)

Reorder the terms:
-12(7 + x) = 3(x + -53)
(7 * -12 + x * -12) = 3(x + -53)
(-84 + -12x) = 3(x + -53)

Reorder the terms:
-84 + -12x = 3(-53 + x)
-84 + -12x = (-53 * 3 + x * 3)
-84 + -12x = (-159 + 3x)

Solving
-84 + -12x = -159 + 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.
-84 + -12x + -3x = -159 + 3x + -3x

Combine like terms: -12x + -3x = -15x
-84 + -15x = -159 + 3x + -3x

Combine like terms: 3x + -3x = 0
-84 + -15x = -159 + 0
-84 + -15x = -159

Add '84' to each side of the equation.
-84 + 84 + -15x = -159 + 84

Combine like terms: -84 + 84 = 0
0 + -15x = -159 + 84
-15x = -159 + 84

Combine like terms: -159 + 84 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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