4w+6=6(2w-7)

Solution for 4w+6=6(2w-7) equation:

Simplifying
4w + 6 = 6(2w + -7)

Reorder the terms:
6 + 4w = 6(2w + -7)

Reorder the terms:
6 + 4w = 6(-7 + 2w)
6 + 4w = (-7 * 6 + 2w * 6)
6 + 4w = (-42 + 12w)

Solving
6 + 4w = -42 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
6 + 4w + -12w = -42 + 12w + -12w

Combine like terms: 4w + -12w = -8w
6 + -8w = -42 + 12w + -12w

Combine like terms: 12w + -12w = 0
6 + -8w = -42 + 0
6 + -8w = -42

Add '-6' to each side of the equation.
6 + -6 + -8w = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -8w = -42 + -6
-8w = -42 + -6

Combine like terms: -42 + -6 = -48
-8w = -48

Divide each side by '-8'.
w = 6

Simplifying
w = 6