4x+30=13x-78

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Solution for 4x+30=13x-78 equation:


Simplifying
4x + 30 = 13x + -78

Reorder the terms:
30 + 4x = 13x + -78

Reorder the terms:
30 + 4x = -78 + 13x

Solving
30 + 4x = -78 + 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 + 4x + -13x = -78 + 13x + -13x

Combine like terms: 4x + -13x = -9x
30 + -9x = -78 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -9x = -78 + 0
30 + -9x = -78

Add '-30' to each side of the equation.
30 + -30 + -9x = -78 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = -78 + -30
-9x = -78 + -30

Combine like terms: -78 + -30 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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