8-3(2x-4)=2x-6

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Solution for 8-3(2x-4)=2x-6 equation:


Simplifying
8 + -3(2x + -4) = 2x + -6

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

Combine like terms: 8 + 12 = 20
20 + -6x = 2x + -6

Reorder the terms:
20 + -6x = -6 + 2x

Solving
20 + -6x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -6x + -2x = -6 + 2x + -2x

Combine like terms: -6x + -2x = -8x
20 + -8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -8x = -6 + 0
20 + -8x = -6

Add '-20' to each side of the equation.
20 + -20 + -8x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -6 + -20
-8x = -6 + -20

Combine like terms: -6 + -20 = -26
-8x = -26

Divide each side by '-8'.
x = 3.25

Simplifying
x = 3.25

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