6(w-7)=5(3+w)

Solution for 6(w-7)=5(3+w) equation:

Simplifying
6(w + -7) = 5(3 + w)

Reorder the terms:
6(-7 + w) = 5(3 + w)
(-7 * 6 + w * 6) = 5(3 + w)
(-42 + 6w) = 5(3 + w)
-42 + 6w = (3 * 5 + w * 5)
-42 + 6w = (15 + 5w)

Solving
-42 + 6w = 15 + 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 = 15 + 5w + -5w

Combine like terms: 6w + -5w = 1w
-42 + 1w = 15 + 5w + -5w

Combine like terms: 5w + -5w = 0
-42 + 1w = 15 + 0
-42 + 1w = 15

Add '42' to each side of the equation.
-42 + 42 + 1w = 15 + 42

Combine like terms: -42 + 42 = 0
0 + 1w = 15 + 42
1w = 15 + 42

Combine like terms: 15 + 42 = 57
1w = 57

Divide each side by '1'.
w = 57

Simplifying
w = 57