-12x+7=3x-53

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


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

Reorder the terms:
7 + -12x = 3x + -53

Reorder the terms:
7 + -12x = -53 + 3x

Solving
7 + -12x = -53 + 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 + -12x + -3x = -53 + 3x + -3x

Combine like terms: -12x + -3x = -15x
7 + -15x = -53 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -15x = -53 + 0
7 + -15x = -53

Add '-7' to each side of the equation.
7 + -7 + -15x = -53 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = -53 + -7
-15x = -53 + -7

Combine like terms: -53 + -7 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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