5x+30=13x-58

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Solution for 5x+30=13x-58 equation:


Simplifying
5x + 30 = 13x + -58

Reorder the terms:
30 + 5x = 13x + -58

Reorder the terms:
30 + 5x = -58 + 13x

Solving
30 + 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.
30 + 5x + -13x = -58 + 13x + -13x

Combine like terms: 5x + -13x = -8x
30 + -8x = -58 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -8x = -58 + 0
30 + -8x = -58

Add '-30' to each side of the equation.
30 + -30 + -8x = -58 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -58 + -30
-8x = -58 + -30

Combine like terms: -58 + -30 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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