6(2x-8)-2=6(x-4)+10

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


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

Reorder the terms:
6(-8 + 2x) + -2 = 6(x + -4) + 10
(-8 * 6 + 2x * 6) + -2 = 6(x + -4) + 10
(-48 + 12x) + -2 = 6(x + -4) + 10

Reorder the terms:
-48 + -2 + 12x = 6(x + -4) + 10

Combine like terms: -48 + -2 = -50
-50 + 12x = 6(x + -4) + 10

Reorder the terms:
-50 + 12x = 6(-4 + x) + 10
-50 + 12x = (-4 * 6 + x * 6) + 10
-50 + 12x = (-24 + 6x) + 10

Reorder the terms:
-50 + 12x = -24 + 10 + 6x

Combine like terms: -24 + 10 = -14
-50 + 12x = -14 + 6x

Solving
-50 + 12x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-50 + 12x + -6x = -14 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-50 + 6x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-50 + 6x = -14 + 0
-50 + 6x = -14

Add '50' to each side of the equation.
-50 + 50 + 6x = -14 + 50

Combine like terms: -50 + 50 = 0
0 + 6x = -14 + 50
6x = -14 + 50

Combine like terms: -14 + 50 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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