2x+121=7x-14

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Solution for 2x+121=7x-14 equation:


Simplifying
2x + 121 = 7x + -14

Reorder the terms:
121 + 2x = 7x + -14

Reorder the terms:
121 + 2x = -14 + 7x

Solving
121 + 2x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
121 + 2x + -7x = -14 + 7x + -7x

Combine like terms: 2x + -7x = -5x
121 + -5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
121 + -5x = -14 + 0
121 + -5x = -14

Add '-121' to each side of the equation.
121 + -121 + -5x = -14 + -121

Combine like terms: 121 + -121 = 0
0 + -5x = -14 + -121
-5x = -14 + -121

Combine like terms: -14 + -121 = -135
-5x = -135

Divide each side by '-5'.
x = 27

Simplifying
x = 27

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