x+13=8x+4x-10

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Solution for x+13=8x+4x-10 equation:


Simplifying
x + 13 = 8x + 4x + -10

Reorder the terms:
13 + x = 8x + 4x + -10

Reorder the terms:
13 + x = -10 + 8x + 4x

Combine like terms: 8x + 4x = 12x
13 + x = -10 + 12x

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

Combine like terms: x + -12x = -11x
13 + -11x = -10 + 12x + -12x

Combine like terms: 12x + -12x = 0
13 + -11x = -10 + 0
13 + -11x = -10

Add '-13' to each side of the equation.
13 + -13 + -11x = -10 + -13

Combine like terms: 13 + -13 = 0
0 + -11x = -10 + -13
-11x = -10 + -13

Combine like terms: -10 + -13 = -23
-11x = -23

Divide each side by '-11'.
x = 2.090909091

Simplifying
x = 2.090909091

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