12x+13-2x=10x-4+9x-10

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Solution for 12x+13-2x=10x-4+9x-10 equation:


Simplifying
12x + 13 + -2x = 10x + -4 + 9x + -10

Reorder the terms:
13 + 12x + -2x = 10x + -4 + 9x + -10

Combine like terms: 12x + -2x = 10x
13 + 10x = 10x + -4 + 9x + -10

Reorder the terms:
13 + 10x = -4 + -10 + 10x + 9x

Combine like terms: -4 + -10 = -14
13 + 10x = -14 + 10x + 9x

Combine like terms: 10x + 9x = 19x
13 + 10x = -14 + 19x

Solving
13 + 10x = -14 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
13 + 10x + -19x = -14 + 19x + -19x

Combine like terms: 10x + -19x = -9x
13 + -9x = -14 + 19x + -19x

Combine like terms: 19x + -19x = 0
13 + -9x = -14 + 0
13 + -9x = -14

Add '-13' to each side of the equation.
13 + -13 + -9x = -14 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = -14 + -13
-9x = -14 + -13

Combine like terms: -14 + -13 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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