5w-2(2w+3)=10

Solution for 5w-2(2w+3)=10 equation:

Simplifying
5w + -2(2w + 3) = 10

Reorder the terms:
5w + -2(3 + 2w) = 10
5w + (3 * -2 + 2w * -2) = 10
5w + (-6 + -4w) = 10

Reorder the terms:
-6 + 5w + -4w = 10

Combine like terms: 5w + -4w = 1w
-6 + 1w = 10

Solving
-6 + 1w = 10

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + 1w = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = 10 + 6
1w = 10 + 6

Combine like terms: 10 + 6 = 16
1w = 16

Divide each side by '1'.
w = 16

Simplifying
w = 16