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

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


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

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

Combine like terms: 8 + 6 = 14
14 + -3x = x + -6

Reorder the terms:
14 + -3x = -6 + x

Solving
14 + -3x = -6 + 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 + -3x + -1x = -6 + x + -1x

Combine like terms: -3x + -1x = -4x
14 + -4x = -6 + x + -1x

Combine like terms: x + -1x = 0
14 + -4x = -6 + 0
14 + -4x = -6

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

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

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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