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

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

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

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

Reorder the terms:
6 + 8x = -4(-3 + 2x)
6 + 8x = (-3 * -4 + 2x * -4)
6 + 8x = (12 + -8x)

Solving
6 + 8x = 12 + -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.
6 + 8x + 8x = 12 + -8x + 8x

Combine like terms: 8x + 8x = 16x
6 + 16x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 16x = 12 + 0
6 + 16x = 12

Add '-6' to each side of the equation.
6 + -6 + 16x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = 12 + -6
16x = 12 + -6

Combine like terms: 12 + -6 = 6
16x = 6

Divide each side by '16'.
x = 0.375

Simplifying
x = 0.375