7(3w+6)=10

Solution for 7(3w+6)=10 equation:

Simplifying
7(3w + 6) = 10

Reorder the terms:
7(6 + 3w) = 10
(6 * 7 + 3w * 7) = 10
(42 + 21w) = 10

Solving
42 + 21w = 10

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 = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 21w = 10 + -42
21w = 10 + -42

Combine like terms: 10 + -42 = -32
21w = -32

Divide each side by '21'.
w = -1.523809524

Simplifying
w = -1.523809524