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

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


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

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

Combine like terms: 8 + 6 = 14
14 + -2x = 2 + x

Solving
14 + -2x = 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.
14 + -2x + -1x = 2 + x + -1x

Combine like terms: -2x + -1x = -3x
14 + -3x = 2 + x + -1x

Combine like terms: x + -1x = 0
14 + -3x = 2 + 0
14 + -3x = 2

Add '-14' to each side of the equation.
14 + -14 + -3x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 2 + -14
-3x = 2 + -14

Combine like terms: 2 + -14 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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