5x+26=12x-58

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Solution for 5x+26=12x-58 equation:


Simplifying
5x + 26 = 12x + -58

Reorder the terms:
26 + 5x = 12x + -58

Reorder the terms:
26 + 5x = -58 + 12x

Solving
26 + 5x = -58 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
26 + 5x + -12x = -58 + 12x + -12x

Combine like terms: 5x + -12x = -7x
26 + -7x = -58 + 12x + -12x

Combine like terms: 12x + -12x = 0
26 + -7x = -58 + 0
26 + -7x = -58

Add '-26' to each side of the equation.
26 + -26 + -7x = -58 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = -58 + -26
-7x = -58 + -26

Combine like terms: -58 + -26 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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