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

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

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

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

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

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

Multiply 1 * 2
1 + 2x = x + 2

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

Solving
1 + 2x = 2 + 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.
1 + 2x + -1x = 2 + x + -1x

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

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

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1