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

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

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

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

Reorder the terms:
6 + -3 + 8x + 1x = -6

Combine like terms: 6 + -3 = 3
3 + 8x + 1x = -6

Combine like terms: 8x + 1x = 9x
3 + 9x = -6

Solving
3 + 9x = -6

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 9x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = -6 + -3
9x = -6 + -3

Combine like terms: -6 + -3 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1