114+17x=38x+32+30x-20

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Solution for 114+17x=38x+32+30x-20 equation: 


Simplifying
114 + 17x = 38x + 32 + 30x + -20

Reorder the terms:
114 + 17x = 32 + -20 + 38x + 30x

Combine like terms: 32 + -20 = 12
114 + 17x = 12 + 38x + 30x

Combine like terms: 38x + 30x = 68x
114 + 17x = 12 + 68x

Solving
114 + 17x = 12 + 68x

Solving for variable 'x'.

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

Add '-68x' to each side of the equation.
114 + 17x + -68x = 12 + 68x + -68x

Combine like terms: 17x + -68x = -51x
114 + -51x = 12 + 68x + -68x

Combine like terms: 68x + -68x = 0
114 + -51x = 12 + 0
114 + -51x = 12

Add '-114' to each side of the equation.
114 + -114 + -51x = 12 + -114

Combine like terms: 114 + -114 = 0
0 + -51x = 12 + -114
-51x = 12 + -114

Combine like terms: 12 + -114 = -102
-51x = -102

Divide each side by '-51'.
x = 2

Simplifying
x = 2

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