6x+91=13x-7

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Solution for 6x+91=13x-7 equation:


Simplifying
6x + 91 = 13x + -7

Reorder the terms:
91 + 6x = 13x + -7

Reorder the terms:
91 + 6x = -7 + 13x

Solving
91 + 6x = -7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
91 + 6x + -13x = -7 + 13x + -13x

Combine like terms: 6x + -13x = -7x
91 + -7x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
91 + -7x = -7 + 0
91 + -7x = -7

Add '-91' to each side of the equation.
91 + -91 + -7x = -7 + -91

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

Combine like terms: -7 + -91 = -98
-7x = -98

Divide each side by '-7'.
x = 14

Simplifying
x = 14

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