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

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

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

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

Combine like terms: 8x + -2x = 6x
6 + 6x = 2x + 6 + 3(2x)

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

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

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

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

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

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

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

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

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

Combine like terms: 8x + -8x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0