10x+2=8x-8

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Solution for 10x+2=8x-8 equation: 


Simplifying
10x + 2 = 8x + -8

Reorder the terms:
2 + 10x = 8x + -8

Reorder the terms:
2 + 10x = -8 + 8x

Solving
2 + 10x = -8 + 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.
2 + 10x + -8x = -8 + 8x + -8x

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

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

Add '-2' to each side of the equation.
2 + -2 + 2x = -8 + -2

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

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

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

Simplifying
x = -5

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