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

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


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

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

Combine like terms: 8 + 8 = 16
16 + -2x = 3(x + -6) + 2

Reorder the terms:
16 + -2x = 3(-6 + x) + 2
16 + -2x = (-6 * 3 + x * 3) + 2
16 + -2x = (-18 + 3x) + 2

Reorder the terms:
16 + -2x = -18 + 2 + 3x

Combine like terms: -18 + 2 = -16
16 + -2x = -16 + 3x

Solving
16 + -2x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -2x + -3x = -16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = -16 + 0
16 + -5x = -16

Add '-16' to each side of the equation.
16 + -16 + -5x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -16 + -16
-5x = -16 + -16

Combine like terms: -16 + -16 = -32
-5x = -32

Divide each side by '-5'.
x = 6.4

Simplifying
x = 6.4

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