7(3w+6)=5

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

Simplifying
7(3w + 6) = 5

Reorder the terms:
7(6 + 3w) = 5
(6 * 7 + 3w * 7) = 5
(42 + 21w) = 5

Solving
42 + 21w = 5

Solving for variable 'w'.

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

Add '-42' to each side of the equation.
42 + -42 + 21w = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 21w = 5 + -42
21w = 5 + -42

Combine like terms: 5 + -42 = -37
21w = -37

Divide each side by '21'.
w = -1.761904762

Simplifying
w = -1.761904762