2(4x+3)=6(2x-1)

Solution for 2(4x+3)=6(2x-1) equation:

Simplifying
2(4x + 3) = 6(2x + -1)

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

Reorder the terms:
6 + 8x = 6(-1 + 2x)
6 + 8x = (-1 * 6 + 2x * 6)
6 + 8x = (-6 + 12x)

Solving
6 + 8x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 8x + -12x = -6 + 12x + -12x

Combine like terms: 8x + -12x = -4x
6 + -4x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -4x = -6 + 0
6 + -4x = -6

Add '-6' to each side of the equation.
6 + -6 + -4x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -6 + -6
-4x = -6 + -6

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3