8-3(2x-4)+6-2(6-2x)=24

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Solution for 8-3(2x-4)+6-2(6-2x)=24 equation:


Simplifying
8 + -3(2x + -4) + 6 + -2(6 + -2x) = 24

Reorder the terms:
8 + -3(-4 + 2x) + 6 + -2(6 + -2x) = 24
8 + (-4 * -3 + 2x * -3) + 6 + -2(6 + -2x) = 24
8 + (12 + -6x) + 6 + -2(6 + -2x) = 24
8 + 12 + -6x + 6 + (6 * -2 + -2x * -2) = 24
8 + 12 + -6x + 6 + (-12 + 4x) = 24

Reorder the terms:
8 + 12 + 6 + -12 + -6x + 4x = 24

Combine like terms: 8 + 12 = 20
20 + 6 + -12 + -6x + 4x = 24

Combine like terms: 20 + 6 = 26
26 + -12 + -6x + 4x = 24

Combine like terms: 26 + -12 = 14
14 + -6x + 4x = 24

Combine like terms: -6x + 4x = -2x
14 + -2x = 24

Solving
14 + -2x = 24

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = 24 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 24 + -14
-2x = 24 + -14

Combine like terms: 24 + -14 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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