-2(4x-3)=3(x+1)

Solution for -2(4x-3)=3(x+1) equation:

Simplifying
-2(4x + -3) = 3(x + 1)

Reorder the terms:
-2(-3 + 4x) = 3(x + 1)
(-3 * -2 + 4x * -2) = 3(x + 1)
(6 + -8x) = 3(x + 1)

Reorder the terms:
6 + -8x = 3(1 + x)
6 + -8x = (1 * 3 + x * 3)
6 + -8x = (3 + 3x)

Solving
6 + -8x = 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 + -8x + -3x = 3 + 3x + -3x

Combine like terms: -8x + -3x = -11x
6 + -11x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -11x = 3 + 0
6 + -11x = 3

Add '-6' to each side of the equation.
6 + -6 + -11x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 3 + -6
-11x = 3 + -6

Combine like terms: 3 + -6 = -3
-11x = -3

Divide each side by '-11'.
x = 0.2727272727

Simplifying
x = 0.2727272727