3(2+w)-4w=3w-10

Solution for 3(2+w)-4w=3w-10 equation:

Simplifying
3(2 + w) + -4w = 3w + -10
(2 * 3 + w * 3) + -4w = 3w + -10
(6 + 3w) + -4w = 3w + -10

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

Reorder the terms:
6 + -1w = -10 + 3w

Solving
6 + -1w = -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 + -1w + -3w = -10 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
6 + -4w = -10 + 0
6 + -4w = -10

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

Combine like terms: 6 + -6 = 0
0 + -4w = -10 + -6
-4w = -10 + -6

Combine like terms: -10 + -6 = -16
-4w = -16

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

Simplifying
w = 4