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 = -9
-9 + 8x + 1x = -6

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

Solving
-9 + 9x = -6

Solving for variable 'x'.

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

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

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

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

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333