2+2x=4(2x+2)-7(x-1)

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Solution for 2+2x=4(2x+2)-7(x-1) equation: 


Simplifying
2 + 2x = 4(2x + 2) + -7(x + -1)

Reorder the terms:
2 + 2x = 4(2 + 2x) + -7(x + -1)
2 + 2x = (2 * 4 + 2x * 4) + -7(x + -1)
2 + 2x = (8 + 8x) + -7(x + -1)

Reorder the terms:
2 + 2x = 8 + 8x + -7(-1 + x)
2 + 2x = 8 + 8x + (-1 * -7 + x * -7)
2 + 2x = 8 + 8x + (7 + -7x)

Reorder the terms:
2 + 2x = 8 + 7 + 8x + -7x

Combine like terms: 8 + 7 = 15
2 + 2x = 15 + 8x + -7x

Combine like terms: 8x + -7x = 1x
2 + 2x = 15 + 1x

Solving
2 + 2x = 15 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 2x + -1x = 15 + 1x + -1x

Combine like terms: 2x + -1x = 1x
2 + 1x = 15 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 1x = 15 + 0
2 + 1x = 15

Add '-2' to each side of the equation.
2 + -2 + 1x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 15 + -2
1x = 15 + -2

Combine like terms: 15 + -2 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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