8x-2=5x+13

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Solution for 8x-2=5x+13 equation:


Simplifying
8x + -2 = 5x + 13

Reorder the terms:
-2 + 8x = 5x + 13

Reorder the terms:
-2 + 8x = 13 + 5x

Solving
-2 + 8x = 13 + 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.
-2 + 8x + -5x = 13 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-2 + 3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 3x = 13 + 0
-2 + 3x = 13

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

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

Combine like terms: 13 + 2 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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