5w-7(0.5+8)=-7(3+w)

Solution for 5w-7(0.5+8)=-7(3+w) equation:

Simplifying
5w + -7(0.5 + 8) = -7(3 + w)

Combine like terms: 0.5 + 8 = 8.5
5w + -7(8.5) = -7(3 + w)

Multiply -7 * 8.5
5w + -59.5 = -7(3 + w)

Reorder the terms:
-59.5 + 5w = -7(3 + w)
-59.5 + 5w = (3 * -7 + w * -7)
-59.5 + 5w = (-21 + -7w)

Solving
-59.5 + 5w = -21 + -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.
-59.5 + 5w + 7w = -21 + -7w + 7w

Combine like terms: 5w + 7w = 12w
-59.5 + 12w = -21 + -7w + 7w

Combine like terms: -7w + 7w = 0
-59.5 + 12w = -21 + 0
-59.5 + 12w = -21

Add '59.5' to each side of the equation.
-59.5 + 59.5 + 12w = -21 + 59.5

Combine like terms: -59.5 + 59.5 = 0.0
0.0 + 12w = -21 + 59.5
12w = -21 + 59.5

Combine like terms: -21 + 59.5 = 38.5
12w = 38.5

Divide each side by '12'.
w = 3.208333333

Simplifying
w = 3.208333333