3w-4+10=5w-6+2w

Solution for 3w-4+10=5w-6+2w equation:

Simplifying
3w + -4 + 10 = 5w + -6 + 2w

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

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

Reorder the terms:
6 + 3w = -6 + 5w + 2w

Combine like terms: 5w + 2w = 7w
6 + 3w = -6 + 7w

Solving
6 + 3w = -6 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 3w + -7w = -6 + 7w + -7w

Combine like terms: 3w + -7w = -4w
6 + -4w = -6 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -4w = -6 + 0
6 + -4w = -6

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

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

Combine like terms: -6 + -6 = -12
-4w = -12

Divide each side by '-4'.
w = 3

Simplifying
w = 3