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

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

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

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

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

Solving
2 + 2x = -3 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5