4w+6=2(3w-5)

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

Simplifying
4w + 6 = 2(3w + -5)

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

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

Solving
6 + 4w = -10 + 6w

Solving for variable 'w'.

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

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

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

Combine like terms: 6w + -6w = 0
6 + -2w = -10 + 0
6 + -2w = -10

Add '-6' to each side of the equation.
6 + -6 + -2w = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = -10 + -6
-2w = -10 + -6

Combine like terms: -10 + -6 = -16
-2w = -16

Divide each side by '-2'.
w = 8

Simplifying
w = 8