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

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


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

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

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

Combine like terms: 2 + 1 = 3
3 + 2x = 1 + -2(x + -7)

Reorder the terms:
3 + 2x = 1 + -2(-7 + x)
3 + 2x = 1 + (-7 * -2 + x * -2)
3 + 2x = 1 + (14 + -2x)

Combine like terms: 1 + 14 = 15
3 + 2x = 15 + -2x

Solving
3 + 2x = 15 + -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.
3 + 2x + 2x = 15 + -2x + 2x

Combine like terms: 2x + 2x = 4x
3 + 4x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 4x = 15 + 0
3 + 4x = 15

Add '-3' to each side of the equation.
3 + -3 + 4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 15 + -3
4x = 15 + -3

Combine like terms: 15 + -3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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