1w+3=4w-6

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

Simplifying
1w + 3 = 4w + -6

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

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

Solving
3 + 1w = -6 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
3 + 1w + -4w = -6 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
3 + -3w = -6 + 0
3 + -3w = -6

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

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

Combine like terms: -6 + -3 = -9
-3w = -9

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

Simplifying
w = 3