2x+12=5x-18

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Solution for 2x+12=5x-18 equation:


Simplifying
2x + 12 = 5x + -18

Reorder the terms:
12 + 2x = 5x + -18

Reorder the terms:
12 + 2x = -18 + 5x

Solving
12 + 2x = -18 + 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.
12 + 2x + -5x = -18 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = -18 + 0
12 + -3x = -18

Add '-12' to each side of the equation.
12 + -12 + -3x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -18 + -12
-3x = -18 + -12

Combine like terms: -18 + -12 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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