2(x-3)-2=4(x+3)

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


Simplifying
2(x + -3) + -2 = 4(x + 3)

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

Reorder the terms:
-6 + -2 + 2x = 4(x + 3)

Combine like terms: -6 + -2 = -8
-8 + 2x = 4(x + 3)

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

Solving
-8 + 2x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 2x + -4x = 12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-8 + -2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -2x = 12 + 0
-8 + -2x = 12

Add '8' to each side of the equation.
-8 + 8 + -2x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 12 + 8
-2x = 12 + 8

Combine like terms: 12 + 8 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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