10x-12=13x+18

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Solution for 10x-12=13x+18 equation:


Simplifying
10x + -12 = 13x + 18

Reorder the terms:
-12 + 10x = 13x + 18

Reorder the terms:
-12 + 10x = 18 + 13x

Solving
-12 + 10x = 18 + 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.
-12 + 10x + -13x = 18 + 13x + -13x

Combine like terms: 10x + -13x = -3x
-12 + -3x = 18 + 13x + -13x

Combine like terms: 13x + -13x = 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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