6(7+w)=5(w-7)

Solution for 6(7+w)=5(w-7) equation:

Simplifying
6(7 + w) = 5(w + -7)
(7 * 6 + w * 6) = 5(w + -7)
(42 + 6w) = 5(w + -7)

Reorder the terms:
42 + 6w = 5(-7 + w)
42 + 6w = (-7 * 5 + w * 5)
42 + 6w = (-35 + 5w)

Solving
42 + 6w = -35 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
42 + 6w + -5w = -35 + 5w + -5w

Combine like terms: 6w + -5w = 1w
42 + 1w = -35 + 5w + -5w

Combine like terms: 5w + -5w = 0
42 + 1w = -35 + 0
42 + 1w = -35

Add '-42' to each side of the equation.
42 + -42 + 1w = -35 + -42

Combine like terms: 42 + -42 = 0
0 + 1w = -35 + -42
1w = -35 + -42

Combine like terms: -35 + -42 = -77
1w = -77

Divide each side by '1'.
w = -77

Simplifying
w = -77