12x+18=5x-10

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Solution for 12x+18=5x-10 equation:


Simplifying
12x + 18 = 5x + -10

Reorder the terms:
18 + 12x = 5x + -10

Reorder the terms:
18 + 12x = -10 + 5x

Solving
18 + 12x = -10 + 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.
18 + 12x + -5x = -10 + 5x + -5x

Combine like terms: 12x + -5x = 7x
18 + 7x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 7x = -10 + 0
18 + 7x = -10

Add '-18' to each side of the equation.
18 + -18 + 7x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -10 + -18
7x = -10 + -18

Combine like terms: -10 + -18 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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