3w+1=2(w-3)

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

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

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

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

Solving
1 + 3w = -6 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
1 + 3w + -2w = -6 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
1 + 1w = -6 + 0
1 + 1w = -6

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

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

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

Divide each side by '1'.
w = -7

Simplifying
w = -7