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

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


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

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

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

Combine like terms: 2x + 2x = 4x
-2 + 4x = 8 + -1(x + -4)

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

Combine like terms: 8 + 4 = 12
-2 + 4x = 12 + -1x

Solving
-2 + 4x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 4x + x = 12 + -1x + x

Combine like terms: 4x + x = 5x
-2 + 5x = 12 + -1x + x

Combine like terms: -1x + x = 0
-2 + 5x = 12 + 0
-2 + 5x = 12

Add '2' to each side of the equation.
-2 + 2 + 5x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 12 + 2
5x = 12 + 2

Combine like terms: 12 + 2 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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