3x+30=13x-90

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Solution for 3x+30=13x-90 equation:


Simplifying
3x + 30 = 13x + -90

Reorder the terms:
30 + 3x = 13x + -90

Reorder the terms:
30 + 3x = -90 + 13x

Solving
30 + 3x = -90 + 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 + 3x + -13x = -90 + 13x + -13x

Combine like terms: 3x + -13x = -10x
30 + -10x = -90 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -10x = -90 + 0
30 + -10x = -90

Add '-30' to each side of the equation.
30 + -30 + -10x = -90 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = -90 + -30
-10x = -90 + -30

Combine like terms: -90 + -30 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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