5w+6=7w-9

Solution for 5w+6=7w-9 equation:

Simplifying
5w + 6 = 7w + -9

Reorder the terms:
6 + 5w = 7w + -9

Reorder the terms:
6 + 5w = -9 + 7w

Solving
6 + 5w = -9 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 5w + -7w = -9 + 7w + -7w

Combine like terms: 5w + -7w = -2w
6 + -2w = -9 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -2w = -9 + 0
6 + -2w = -9

Add '-6' to each side of the equation.
6 + -6 + -2w = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = -9 + -6
-2w = -9 + -6

Combine like terms: -9 + -6 = -15
-2w = -15

Divide each side by '-2'.
w = 7.5

Simplifying
w = 7.5