6x+39=13x-91

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Solution for 6x+39=13x-91 equation:


Simplifying
6x + 39 = 13x + -91

Reorder the terms:
39 + 6x = 13x + -91

Reorder the terms:
39 + 6x = -91 + 13x

Solving
39 + 6x = -91 + 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.
39 + 6x + -13x = -91 + 13x + -13x

Combine like terms: 6x + -13x = -7x
39 + -7x = -91 + 13x + -13x

Combine like terms: 13x + -13x = 0
39 + -7x = -91 + 0
39 + -7x = -91

Add '-39' to each side of the equation.
39 + -39 + -7x = -91 + -39

Combine like terms: 39 + -39 = 0
0 + -7x = -91 + -39
-7x = -91 + -39

Combine like terms: -91 + -39 = -130
-7x = -130

Divide each side by '-7'.
x = 18.57142857

Simplifying
x = 18.57142857

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