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

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

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

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

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

Solving
6 + -2x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -2x + -6x = 3 + 6x + -6x

Combine like terms: -2x + -6x = -8x
6 + -8x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -8x = 3 + 0
6 + -8x = 3

Add '-6' to each side of the equation.
6 + -6 + -8x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 3 + -6
-8x = 3 + -6

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

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375