4w-6=3w+1

Solution for 4w-6=3w+1 equation:

Simplifying
4w + -6 = 3w + 1

Reorder the terms:
-6 + 4w = 3w + 1

Reorder the terms:
-6 + 4w = 1 + 3w

Solving
-6 + 4w = 1 + 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 + 4w + -3w = 1 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
-6 + 1w = 1 + 0
-6 + 1w = 1

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

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

Combine like terms: 1 + 6 = 7
1w = 7

Divide each side by '1'.
w = 7

Simplifying
w = 7