2(x+1)+1=1-2(x-5)

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Solution for 2(x+1)+1=1-2(x-5) equation: 


Simplifying
2(x + 1) + 1 = 1 + -2(x + -5)

Reorder the terms:
2(1 + x) + 1 = 1 + -2(x + -5)
(1 * 2 + x * 2) + 1 = 1 + -2(x + -5)
(2 + 2x) + 1 = 1 + -2(x + -5)

Reorder the terms:
2 + 1 + 2x = 1 + -2(x + -5)

Combine like terms: 2 + 1 = 3
3 + 2x = 1 + -2(x + -5)

Reorder the terms:
3 + 2x = 1 + -2(-5 + x)
3 + 2x = 1 + (-5 * -2 + x * -2)
3 + 2x = 1 + (10 + -2x)

Combine like terms: 1 + 10 = 11
3 + 2x = 11 + -2x

Solving
3 + 2x = 11 + -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 = 11 + -2x + 2x

Combine like terms: 2x + 2x = 4x
3 + 4x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 4x = 11 + 0
3 + 4x = 11

Add '-3' to each side of the equation.
3 + -3 + 4x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 11 + -3
4x = 11 + -3

Combine like terms: 11 + -3 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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