12*x+48=51*x-117

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Solution for 12*x+48=51*x-117 equation: 


Simplifying
12x + 48 = 51x + -117

Reorder the terms:
48 + 12x = 51x + -117

Reorder the terms:
48 + 12x = -117 + 51x

Solving
48 + 12x = -117 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
48 + 12x + -51x = -117 + 51x + -51x

Combine like terms: 12x + -51x = -39x
48 + -39x = -117 + 51x + -51x

Combine like terms: 51x + -51x = 0
48 + -39x = -117 + 0
48 + -39x = -117

Add '-48' to each side of the equation.
48 + -48 + -39x = -117 + -48

Combine like terms: 48 + -48 = 0
0 + -39x = -117 + -48
-39x = -117 + -48

Combine like terms: -117 + -48 = -165
-39x = -165

Divide each side by '-39'.
x = 4.230769231

Simplifying
x = 4.230769231

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