4-2(x-3)=x-8

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Solution for 4-2(x-3)=x-8 equation: 


Simplifying
4 + -2(x + -3) = x + -8

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

Combine like terms: 4 + 6 = 10
10 + -2x = x + -8

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

Solving
10 + -2x = -8 + 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 + -2x + -1x = -8 + x + -1x

Combine like terms: -2x + -1x = -3x
10 + -3x = -8 + x + -1x

Combine like terms: x + -1x = 0
10 + -3x = -8 + 0
10 + -3x = -8

Add '-10' to each side of the equation.
10 + -10 + -3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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