2x+30=5x-12

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Solution for 2x+30=5x-12 equation:


Simplifying
2x + 30 = 5x + -12

Reorder the terms:
30 + 2x = 5x + -12

Reorder the terms:
30 + 2x = -12 + 5x

Solving
30 + 2x = -12 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
30 + 2x + -5x = -12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
30 + -3x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -3x = -12 + 0
30 + -3x = -12

Add '-30' to each side of the equation.
30 + -30 + -3x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = -12 + -30
-3x = -12 + -30

Combine like terms: -12 + -30 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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