2(x-4)+6x=12-2(x-5)

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Solution for 2(x-4)+6x=12-2(x-5) equation:


Simplifying
2(x + -4) + 6x = 12 + -2(x + -5)

Reorder the terms:
2(-4 + x) + 6x = 12 + -2(x + -5)
(-4 * 2 + x * 2) + 6x = 12 + -2(x + -5)
(-8 + 2x) + 6x = 12 + -2(x + -5)

Combine like terms: 2x + 6x = 8x
-8 + 8x = 12 + -2(x + -5)

Reorder the terms:
-8 + 8x = 12 + -2(-5 + x)
-8 + 8x = 12 + (-5 * -2 + x * -2)
-8 + 8x = 12 + (10 + -2x)

Combine like terms: 12 + 10 = 22
-8 + 8x = 22 + -2x

Solving
-8 + 8x = 22 + -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.
-8 + 8x + 2x = 22 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-8 + 10x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 10x = 22 + 0
-8 + 10x = 22

Add '8' to each side of the equation.
-8 + 8 + 10x = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 22 + 8
10x = 22 + 8

Combine like terms: 22 + 8 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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