5x-2=13x-58

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Solution for 5x-2=13x-58 equation:


Simplifying
5x + -2 = 13x + -58

Reorder the terms:
-2 + 5x = 13x + -58

Reorder the terms:
-2 + 5x = -58 + 13x

Solving
-2 + 5x = -58 + 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.
-2 + 5x + -13x = -58 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-2 + -8x = -58 + 13x + -13x

Combine like terms: 13x + -13x = 0
-2 + -8x = -58 + 0
-2 + -8x = -58

Add '2' to each side of the equation.
-2 + 2 + -8x = -58 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -58 + 2
-8x = -58 + 2

Combine like terms: -58 + 2 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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