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

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

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

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

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

Reorder the terms:
3 + 2x = 1 + x

Solving
3 + 2x = 1 + x

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.
3 + 2x + -1x = 1 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 1x = 1 + 0
3 + 1x = 1

Add '-3' to each side of the equation.
3 + -3 + 1x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 1 + -3
1x = 1 + -3

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

Divide each side by '1'.
x = -2

Simplifying
x = -2