7w-42=-4(w+5)

Solution for 7w-42=-4(w+5) equation:

Simplifying
7w + -42 = -4(w + 5)

Reorder the terms:
-42 + 7w = -4(w + 5)

Reorder the terms:
-42 + 7w = -4(5 + w)
-42 + 7w = (5 * -4 + w * -4)
-42 + 7w = (-20 + -4w)

Solving
-42 + 7w = -20 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-42 + 7w + 4w = -20 + -4w + 4w

Combine like terms: 7w + 4w = 11w
-42 + 11w = -20 + -4w + 4w

Combine like terms: -4w + 4w = 0
-42 + 11w = -20 + 0
-42 + 11w = -20

Add '42' to each side of the equation.
-42 + 42 + 11w = -20 + 42

Combine like terms: -42 + 42 = 0
0 + 11w = -20 + 42
11w = -20 + 42

Combine like terms: -20 + 42 = 22
11w = 22

Divide each side by '11'.
w = 2

Simplifying
w = 2