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

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

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

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

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

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

Combine like terms: 8 + 12 = 20
6 + 2x = 20 + 4x + -3x

Combine like terms: 4x + -3x = 1x
6 + 2x = 20 + 1x

Solving
6 + 2x = 20 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 2x + -1x = 20 + 1x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 20 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 1x = 20 + 0
6 + 1x = 20

Add '-6' to each side of the equation.
6 + -6 + 1x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 20 + -6
1x = 20 + -6

Combine like terms: 20 + -6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14