2x+91=7x-14

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Solution for 2x+91=7x-14 equation:


Simplifying
2x + 91 = 7x + -14

Reorder the terms:
91 + 2x = 7x + -14

Reorder the terms:
91 + 2x = -14 + 7x

Solving
91 + 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.
91 + 2x + -7x = -14 + 7x + -7x

Combine like terms: 2x + -7x = -5x
91 + -5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
91 + -5x = -14 + 0
91 + -5x = -14

Add '-91' to each side of the equation.
91 + -91 + -5x = -14 + -91

Combine like terms: 91 + -91 = 0
0 + -5x = -14 + -91
-5x = -14 + -91

Combine like terms: -14 + -91 = -105
-5x = -105

Divide each side by '-5'.
x = 21

Simplifying
x = 21

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