2+(x+1)=2(x+1)

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

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

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

Remove parenthesis around (1 + x)
2 + 1 + x = 2(x + 1)

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

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

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

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

Combine like terms: 2x + -2x = 0
3 + -1x = 2 + 0
3 + -1x = 2

Add '-3' to each side of the equation.
3 + -3 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

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

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

Simplifying
x = 1