6+2x=4(2x+4)-7(x-1)

Solution for 6+2x=4(2x+4)-7(x-1) equation:

Simplifying
6 + 2x = 4(2x + 4) + -7(x + -1)

Reorder the terms:
6 + 2x = 4(4 + 2x) + -7(x + -1)
6 + 2x = (4 * 4 + 2x * 4) + -7(x + -1)
6 + 2x = (16 + 8x) + -7(x + -1)

Reorder the terms:
6 + 2x = 16 + 8x + -7(-1 + x)
6 + 2x = 16 + 8x + (-1 * -7 + x * -7)
6 + 2x = 16 + 8x + (7 + -7x)

Reorder the terms:
6 + 2x = 16 + 7 + 8x + -7x

Combine like terms: 16 + 7 = 23
6 + 2x = 23 + 8x + -7x

Combine like terms: 8x + -7x = 1x
6 + 2x = 23 + 1x

Solving
6 + 2x = 23 + 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 = 23 + 1x + -1x

Combine like terms: 2x + -1x = 1x
6 + 1x = 23 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 1x = 23 + 0
6 + 1x = 23

Add '-6' to each side of the equation.
6 + -6 + 1x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 23 + -6
1x = 23 + -6

Combine like terms: 23 + -6 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17