8x-2(x-5)=x+2

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Solution for 8x-2(x-5)=x+2 equation: 


Simplifying
8x + -2(x + -5) = x + 2

Reorder the terms:
8x + -2(-5 + x) = x + 2
8x + (-5 * -2 + x * -2) = x + 2
8x + (10 + -2x) = x + 2

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

Combine like terms: 8x + -2x = 6x
10 + 6x = x + 2

Reorder the terms:
10 + 6x = 2 + x

Solving
10 + 6x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 6x + -1x = 2 + x + -1x

Combine like terms: 6x + -1x = 5x
10 + 5x = 2 + x + -1x

Combine like terms: x + -1x = 0
10 + 5x = 2 + 0
10 + 5x = 2

Add '-10' to each side of the equation.
10 + -10 + 5x = 2 + -10

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

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

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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