6x+26=13x-51

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Solution for 6x+26=13x-51 equation:


Simplifying
6x + 26 = 13x + -51

Reorder the terms:
26 + 6x = 13x + -51

Reorder the terms:
26 + 6x = -51 + 13x

Solving
26 + 6x = -51 + 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.
26 + 6x + -13x = -51 + 13x + -13x

Combine like terms: 6x + -13x = -7x
26 + -7x = -51 + 13x + -13x

Combine like terms: 13x + -13x = 0
26 + -7x = -51 + 0
26 + -7x = -51

Add '-26' to each side of the equation.
26 + -26 + -7x = -51 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = -51 + -26
-7x = -51 + -26

Combine like terms: -51 + -26 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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