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

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

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

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

Reorder the terms:
-6 + -2w = 4(1 + 2w)
-6 + -2w = (1 * 4 + 2w * 4)
-6 + -2w = (4 + 8w)

Solving
-6 + -2w = 4 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-6 + -2w + -8w = 4 + 8w + -8w

Combine like terms: -2w + -8w = -10w
-6 + -10w = 4 + 8w + -8w

Combine like terms: 8w + -8w = 0
-6 + -10w = 4 + 0
-6 + -10w = 4

Add '6' to each side of the equation.
-6 + 6 + -10w = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -10w = 4 + 6
-10w = 4 + 6

Combine like terms: 4 + 6 = 10
-10w = 10

Divide each side by '-10'.
w = -1

Simplifying
w = -1