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

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

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

Reorder the terms:
2(1 + 2x) = 3(x + -1)
(1 * 2 + 2x * 2) = 3(x + -1)
(2 + 4x) = 3(x + -1)

Reorder the terms:
2 + 4x = 3(-1 + x)
2 + 4x = (-1 * 3 + x * 3)
2 + 4x = (-3 + 3x)

Solving
2 + 4x = -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 + 4x + -3x = -3 + 3x + -3x

Combine like terms: 4x + -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