2+3(2w-1)=10

Solution for 2+3(2w-1)=10 equation:

Simplifying
2 + 3(2w + -1) = 10

Reorder the terms:
2 + 3(-1 + 2w) = 10
2 + (-1 * 3 + 2w * 3) = 10
2 + (-3 + 6w) = 10

Combine like terms: 2 + -3 = -1
-1 + 6w = 10

Solving
-1 + 6w = 10

Solving for variable 'w'.

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

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

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

Combine like terms: 10 + 1 = 11
6w = 11

Divide each side by '6'.
w = 1.833333333

Simplifying
w = 1.833333333