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

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

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

Reorder the terms:
2(3 + 2x) = -3(x + -1)
(3 * 2 + 2x * 2) = -3(x + -1)
(6 + 4x) = -3(x + -1)

Reorder the terms:
6 + 4x = -3(-1 + x)
6 + 4x = (-1 * -3 + x * -3)
6 + 4x = (3 + -3x)

Solving
6 + 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.
6 + 4x + 3x = 3 + -3x + 3x

Combine like terms: 4x + 3x = 7x
6 + 7x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 7x = 3 + 0
6 + 7x = 3

Add '-6' to each side of the equation.
6 + -6 + 7x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 3 + -6
7x = 3 + -6

Combine like terms: 3 + -6 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286