-(6X-8)-4(5-X)=28+2X

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Solution for -(6X-8)-4(5-X)=28+2X equation: 


Simplifying
-1(6X + -8) + -4(5 + -1X) = 28 + 2X

Reorder the terms:
-1(-8 + 6X) + -4(5 + -1X) = 28 + 2X
(-8 * -1 + 6X * -1) + -4(5 + -1X) = 28 + 2X
(8 + -6X) + -4(5 + -1X) = 28 + 2X
8 + -6X + (5 * -4 + -1X * -4) = 28 + 2X
8 + -6X + (-20 + 4X) = 28 + 2X

Reorder the terms:
8 + -20 + -6X + 4X = 28 + 2X

Combine like terms: 8 + -20 = -12
-12 + -6X + 4X = 28 + 2X

Combine like terms: -6X + 4X = -2X
-12 + -2X = 28 + 2X

Solving
-12 + -2X = 28 + 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.
-12 + -2X + -2X = 28 + 2X + -2X

Combine like terms: -2X + -2X = -4X
-12 + -4X = 28 + 2X + -2X

Combine like terms: 2X + -2X = 0
-12 + -4X = 28 + 0
-12 + -4X = 28

Add '12' to each side of the equation.
-12 + 12 + -4X = 28 + 12

Combine like terms: -12 + 12 = 0
0 + -4X = 28 + 12
-4X = 28 + 12

Combine like terms: 28 + 12 = 40
-4X = 40

Divide each side by '-4'.
X = -10

Simplifying
X = -10

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