8-2(X-6)=4(2X-10)

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Solution for 8-2(X-6)=4(2X-10) equation: 


Simplifying
8 + -2(X + -6) = 4(2X + -10)

Reorder the terms:
8 + -2(-6 + X) = 4(2X + -10)
8 + (-6 * -2 + X * -2) = 4(2X + -10)
8 + (12 + -2X) = 4(2X + -10)

Combine like terms: 8 + 12 = 20
20 + -2X = 4(2X + -10)

Reorder the terms:
20 + -2X = 4(-10 + 2X)
20 + -2X = (-10 * 4 + 2X * 4)
20 + -2X = (-40 + 8X)

Solving
20 + -2X = -40 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
20 + -2X + -8X = -40 + 8X + -8X

Combine like terms: -2X + -8X = -10X
20 + -10X = -40 + 8X + -8X

Combine like terms: 8X + -8X = 0
20 + -10X = -40 + 0
20 + -10X = -40

Add '-20' to each side of the equation.
20 + -20 + -10X = -40 + -20

Combine like terms: 20 + -20 = 0
0 + -10X = -40 + -20
-10X = -40 + -20

Combine like terms: -40 + -20 = -60
-10X = -60

Divide each side by '-10'.
X = 6

Simplifying
X = 6

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