2(x-1)+8=4(x+3)

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Solution for 2(x-1)+8=4(x+3) equation: 


Simplifying
2(x + -1) + 8 = 4(x + 3)

Reorder the terms:
2(-1 + x) + 8 = 4(x + 3)
(-1 * 2 + x * 2) + 8 = 4(x + 3)
(-2 + 2x) + 8 = 4(x + 3)

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

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

Reorder the terms:
6 + 2x = 4(3 + x)
6 + 2x = (3 * 4 + x * 4)
6 + 2x = (12 + 4x)

Solving
6 + 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.
6 + 2x + -4x = 12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
6 + -2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -2x = 12 + 0
6 + -2x = 12

Add '-6' to each side of the equation.
6 + -6 + -2x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 12 + -6
-2x = 12 + -6

Combine like terms: 12 + -6 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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