8x-2(x-4)=8x+10

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Solution for 8x-2(x-4)=8x+10 equation:


Simplifying
8x + -2(x + -4) = 8x + 10

Reorder the terms:
8x + -2(-4 + x) = 8x + 10
8x + (-4 * -2 + x * -2) = 8x + 10
8x + (8 + -2x) = 8x + 10

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

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

Reorder the terms:
8 + 6x = 10 + 8x

Solving
8 + 6x = 10 + 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.
8 + 6x + -8x = 10 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
8 + -2x = 10 + 0
8 + -2x = 10

Add '-8' to each side of the equation.
8 + -8 + -2x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 10 + -8
-2x = 10 + -8

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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