10x+5=8x-5

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


Simplifying
10x + 5 = 8x + -5

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

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

Solving
5 + 10x = -5 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
5 + 2x = -5 + 0
5 + 2x = -5

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

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

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

Divide each side by '2'.
x = -5

Simplifying
x = -5

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