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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