-2(w+3)=3(w+4)+7

Solution for -2(w+3)=3(w+4)+7 equation:

Simplifying
-2(w + 3) = 3(w + 4) + 7

Reorder the terms:
-2(3 + w) = 3(w + 4) + 7
(3 * -2 + w * -2) = 3(w + 4) + 7
(-6 + -2w) = 3(w + 4) + 7

Reorder the terms:
-6 + -2w = 3(4 + w) + 7
-6 + -2w = (4 * 3 + w * 3) + 7
-6 + -2w = (12 + 3w) + 7

Reorder the terms:
-6 + -2w = 12 + 7 + 3w

Combine like terms: 12 + 7 = 19
-6 + -2w = 19 + 3w

Solving
-6 + -2w = 19 + 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 + -2w + -3w = 19 + 3w + -3w

Combine like terms: -2w + -3w = -5w
-6 + -5w = 19 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + -5w = 19 + 0
-6 + -5w = 19

Add '6' to each side of the equation.
-6 + 6 + -5w = 19 + 6

Combine like terms: -6 + 6 = 0
0 + -5w = 19 + 6
-5w = 19 + 6

Combine like terms: 19 + 6 = 25
-5w = 25

Divide each side by '-5'.
w = -5

Simplifying
w = -5