3(w+1)-2(w-3)=7

Solution for 3(w+1)-2(w-3)=7 equation:

Simplifying
3(w + 1) + -2(w + -3) = 7

Reorder the terms:
3(1 + w) + -2(w + -3) = 7
(1 * 3 + w * 3) + -2(w + -3) = 7
(3 + 3w) + -2(w + -3) = 7

Reorder the terms:
3 + 3w + -2(-3 + w) = 7
3 + 3w + (-3 * -2 + w * -2) = 7
3 + 3w + (6 + -2w) = 7

Reorder the terms:
3 + 6 + 3w + -2w = 7

Combine like terms: 3 + 6 = 9
9 + 3w + -2w = 7

Combine like terms: 3w + -2w = 1w
9 + 1w = 7

Solving
9 + 1w = 7

Solving for variable 'w'.

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

Add '-9' to each side of the equation.
9 + -9 + 1w = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 1w = 7 + -9
1w = 7 + -9

Combine like terms: 7 + -9 = -2
1w = -2

Divide each side by '1'.
w = -2

Simplifying
w = -2