5w-9=3(7w+2)

Solution for 5w-9=3(7w+2) equation:

Simplifying
5w + -9 = 3(7w + 2)

Reorder the terms:
-9 + 5w = 3(7w + 2)

Reorder the terms:
-9 + 5w = 3(2 + 7w)
-9 + 5w = (2 * 3 + 7w * 3)
-9 + 5w = (6 + 21w)

Solving
-9 + 5w = 6 + 21w

Solving for variable 'w'.

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

Add '-21w' to each side of the equation.
-9 + 5w + -21w = 6 + 21w + -21w

Combine like terms: 5w + -21w = -16w
-9 + -16w = 6 + 21w + -21w

Combine like terms: 21w + -21w = 0
-9 + -16w = 6 + 0
-9 + -16w = 6

Add '9' to each side of the equation.
-9 + 9 + -16w = 6 + 9

Combine like terms: -9 + 9 = 0
0 + -16w = 6 + 9
-16w = 6 + 9

Combine like terms: 6 + 9 = 15
-16w = 15

Divide each side by '-16'.
w = -0.9375

Simplifying
w = -0.9375