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

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

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

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

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

Reorder the terms:
-6 + 4w = -10 + 5w + -2w

Combine like terms: 5w + -2w = 3w
-6 + 4w = -10 + 3w

Solving
-6 + 4w = -10 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-6 + 4w + -3w = -10 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-6 + 1w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + 1w = -10 + 0
-6 + 1w = -10

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 = -4
1w = -4

Divide each side by '1'.
w = -4

Simplifying
w = -4