12(x+4)=5x-117

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Solution for 12(x+4)=5x-117 equation:


Simplifying
12(x + 4) = 5x + -117

Reorder the terms:
12(4 + x) = 5x + -117
(4 * 12 + x * 12) = 5x + -117
(48 + 12x) = 5x + -117

Reorder the terms:
48 + 12x = -117 + 5x

Solving
48 + 12x = -117 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
48 + 12x + -5x = -117 + 5x + -5x

Combine like terms: 12x + -5x = 7x
48 + 7x = -117 + 5x + -5x

Combine like terms: 5x + -5x = 0
48 + 7x = -117 + 0
48 + 7x = -117

Add '-48' to each side of the equation.
48 + -48 + 7x = -117 + -48

Combine like terms: 48 + -48 = 0
0 + 7x = -117 + -48
7x = -117 + -48

Combine like terms: -117 + -48 = -165
7x = -165

Divide each side by '7'.
x = -23.57142857

Simplifying
x = -23.57142857

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