(10x-8)=(5x+8)

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Solution for (10x-8)=(5x+8) equation:


Simplifying
(10x + -8) = (5x + 8)

Reorder the terms:
(-8 + 10x) = (5x + 8)

Remove parenthesis around (-8 + 10x)
-8 + 10x = (5x + 8)

Reorder the terms:
-8 + 10x = (8 + 5x)

Remove parenthesis around (8 + 5x)
-8 + 10x = 8 + 5x

Solving
-8 + 10x = 8 + 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.
-8 + 10x + -5x = 8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-8 + 5x = 8 + 0
-8 + 5x = 8

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

Combine like terms: -8 + 8 = 0
0 + 5x = 8 + 8
5x = 8 + 8

Combine like terms: 8 + 8 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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