8x+13-x=12x+14

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Solution for 8x+13-x=12x+14 equation:


Simplifying
8x + 13 + -1x = 12x + 14

Reorder the terms:
13 + 8x + -1x = 12x + 14

Combine like terms: 8x + -1x = 7x
13 + 7x = 12x + 14

Reorder the terms:
13 + 7x = 14 + 12x

Solving
13 + 7x = 14 + 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.
13 + 7x + -12x = 14 + 12x + -12x

Combine like terms: 7x + -12x = -5x
13 + -5x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
13 + -5x = 14 + 0
13 + -5x = 14

Add '-13' to each side of the equation.
13 + -13 + -5x = 14 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 14 + -13
-5x = 14 + -13

Combine like terms: 14 + -13 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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