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

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


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

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

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

Reorder the terms:
2 = 8 + 4 + 2x + -4x

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

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

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

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

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

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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