6x+26=15x-82

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Solution for 6x+26=15x-82 equation:


Simplifying
6x + 26 = 15x + -82

Reorder the terms:
26 + 6x = 15x + -82

Reorder the terms:
26 + 6x = -82 + 15x

Solving
26 + 6x = -82 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
26 + 6x + -15x = -82 + 15x + -15x

Combine like terms: 6x + -15x = -9x
26 + -9x = -82 + 15x + -15x

Combine like terms: 15x + -15x = 0
26 + -9x = -82 + 0
26 + -9x = -82

Add '-26' to each side of the equation.
26 + -26 + -9x = -82 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = -82 + -26
-9x = -82 + -26

Combine like terms: -82 + -26 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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