5x+26=13x-38

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Solution for 5x+26=13x-38 equation:


Simplifying
5x + 26 = 13x + -38

Reorder the terms:
26 + 5x = 13x + -38

Reorder the terms:
26 + 5x = -38 + 13x

Solving
26 + 5x = -38 + 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 + 5x + -13x = -38 + 13x + -13x

Combine like terms: 5x + -13x = -8x
26 + -8x = -38 + 13x + -13x

Combine like terms: 13x + -13x = 0
26 + -8x = -38 + 0
26 + -8x = -38

Add '-26' to each side of the equation.
26 + -26 + -8x = -38 + -26

Combine like terms: 26 + -26 = 0
0 + -8x = -38 + -26
-8x = -38 + -26

Combine like terms: -38 + -26 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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