8x+13=5x-6

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Solution for 8x+13=5x-6 equation:


Simplifying
8x + 13 = 5x + -6

Reorder the terms:
13 + 8x = 5x + -6

Reorder the terms:
13 + 8x = -6 + 5x

Solving
13 + 8x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 8x + -5x = -6 + 5x + -5x

Combine like terms: 8x + -5x = 3x
13 + 3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + 3x = -6 + 0
13 + 3x = -6

Add '-13' to each side of the equation.
13 + -13 + 3x = -6 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -6 + -13
3x = -6 + -13

Combine like terms: -6 + -13 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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