8x-13=10x+5

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Solution for 8x-13=10x+5 equation:


Simplifying
8x + -13 = 10x + 5

Reorder the terms:
-13 + 8x = 10x + 5

Reorder the terms:
-13 + 8x = 5 + 10x

Solving
-13 + 8x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-13 + 8x + -10x = 5 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-13 + -2x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-13 + -2x = 5 + 0
-13 + -2x = 5

Add '13' to each side of the equation.
-13 + 13 + -2x = 5 + 13

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

Combine like terms: 5 + 13 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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