10x+3=12x-13

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Solution for 10x+3=12x-13 equation:


Simplifying
10x + 3 = 12x + -13

Reorder the terms:
3 + 10x = 12x + -13

Reorder the terms:
3 + 10x = -13 + 12x

Solving
3 + 10x = -13 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + 10x + -12x = -13 + 12x + -12x

Combine like terms: 10x + -12x = -2x
3 + -2x = -13 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -2x = -13 + 0
3 + -2x = -13

Add '-3' to each side of the equation.
3 + -3 + -2x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -13 + -3
-2x = -13 + -3

Combine like terms: -13 + -3 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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