2(w-3)=1-(w+4)

Solution for 2(w-3)=1-(w+4) equation:

Simplifying
2(w + -3) = 1 + -1(w + 4)

Reorder the terms:
2(-3 + w) = 1 + -1(w + 4)
(-3 * 2 + w * 2) = 1 + -1(w + 4)
(-6 + 2w) = 1 + -1(w + 4)

Reorder the terms:
-6 + 2w = 1 + -1(4 + w)
-6 + 2w = 1 + (4 * -1 + w * -1)
-6 + 2w = 1 + (-4 + -1w)

Combine like terms: 1 + -4 = -3
-6 + 2w = -3 + -1w

Solving
-6 + 2w = -3 + -1w

Solving for variable 'w'.

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

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

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

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

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

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

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

Divide each side by '3'.
w = 1

Simplifying
w = 1