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

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

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

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

Remove parenthesis around (2x)
6 + 8x = 2x + 6 + -3 * 2x

Multiply -3 * 2
6 + 8x = 2x + 6 + -6x

Reorder the terms:
6 + 8x = 6 + 2x + -6x

Combine like terms: 2x + -6x = -4x
6 + 8x = 6 + -4x

Add '-6' to each side of the equation.
6 + -6 + 8x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
0 + 8x = 6 + -6 + -4x
8x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0
8x = 0 + -4x
8x = -4x

Solving
8x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8x + 4x = -4x + 4x

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

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

Divide each side by '12'.
x = 0

Simplifying
x = 0