4(5+w)=3(2+w)

Solution for 4(5+w)=3(2+w) equation:

Simplifying
4(5 + w) = 3(2 + w)
(5 * 4 + w * 4) = 3(2 + w)
(20 + 4w) = 3(2 + w)
20 + 4w = (2 * 3 + w * 3)
20 + 4w = (6 + 3w)

Solving
20 + 4w = 6 + 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.
20 + 4w + -3w = 6 + 3w + -3w

Combine like terms: 4w + -3w = 1w
20 + 1w = 6 + 3w + -3w

Combine like terms: 3w + -3w = 0
20 + 1w = 6 + 0
20 + 1w = 6

Add '-20' to each side of the equation.
20 + -20 + 1w = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 1w = 6 + -20
1w = 6 + -20

Combine like terms: 6 + -20 = -14
1w = -14

Divide each side by '1'.
w = -14

Simplifying
w = -14