2(2w+3)=3w-1

Solution for 2(2w+3)=3w-1 equation:

Simplifying
2(2w + 3) = 3w + -1

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

Reorder the terms:
6 + 4w = -1 + 3w

Solving
6 + 4w = -1 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
6 + 4w + -3w = -1 + 3w + -3w

Combine like terms: 4w + -3w = 1w
6 + 1w = -1 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + 1w = -1 + 0
6 + 1w = -1

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

Combine like terms: 6 + -6 = 0
0 + 1w = -1 + -6
1w = -1 + -6

Combine like terms: -1 + -6 = -7
1w = -7

Divide each side by '1'.
w = -7

Simplifying
w = -7