2(x+1)+3(x-1)=0

Solution for 2(x+1)+3(x-1)=0 equation:

Simplifying
2(x + 1) + 3(x + -1) = 0

Reorder the terms:
2(1 + x) + 3(x + -1) = 0
(1 * 2 + x * 2) + 3(x + -1) = 0
(2 + 2x) + 3(x + -1) = 0

Reorder the terms:
2 + 2x + 3(-1 + x) = 0
2 + 2x + (-1 * 3 + x * 3) = 0
2 + 2x + (-3 + 3x) = 0

Reorder the terms:
2 + -3 + 2x + 3x = 0

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

Combine like terms: 2x + 3x = 5x
-1 + 5x = 0

Solving
-1 + 5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2