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