8+2(2x-6)=-2(8x-3)+2x

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Solution for 8+2(2x-6)=-2(8x-3)+2x equation:


Simplifying
8 + 2(2x + -6) = -2(8x + -3) + 2x

Reorder the terms:
8 + 2(-6 + 2x) = -2(8x + -3) + 2x
8 + (-6 * 2 + 2x * 2) = -2(8x + -3) + 2x
8 + (-12 + 4x) = -2(8x + -3) + 2x

Combine like terms: 8 + -12 = -4
-4 + 4x = -2(8x + -3) + 2x

Reorder the terms:
-4 + 4x = -2(-3 + 8x) + 2x
-4 + 4x = (-3 * -2 + 8x * -2) + 2x
-4 + 4x = (6 + -16x) + 2x

Combine like terms: -16x + 2x = -14x
-4 + 4x = 6 + -14x

Solving
-4 + 4x = 6 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-4 + 4x + 14x = 6 + -14x + 14x

Combine like terms: 4x + 14x = 18x
-4 + 18x = 6 + -14x + 14x

Combine like terms: -14x + 14x = 0
-4 + 18x = 6 + 0
-4 + 18x = 6

Add '4' to each side of the equation.
-4 + 4 + 18x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 18x = 6 + 4
18x = 6 + 4

Combine like terms: 6 + 4 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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