5x+58=12x-26

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


Simplifying
5x + 58 = 12x + -26

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

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

Solving
58 + 5x = -26 + 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.
58 + 5x + -12x = -26 + 12x + -12x

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

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

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

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

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

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

Simplifying
x = 12

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