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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 6x + 8x = 14x
-3 + 14x = -6 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 14x = -6 + 0
-3 + 14x = -6

Add '3' to each side of the equation.
-3 + 3 + 14x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = -6 + 3
14x = -6 + 3

Combine like terms: -6 + 3 = -3
14x = -3

Divide each side by '14'.
x = -0.2142857143

Simplifying
x = -0.2142857143