30-4(2w+1)=6w-4(6+w)

Solution for 30-4(2w+1)=6w-4(6+w) equation:

Simplifying
30 + -4(2w + 1) = 6w + -4(6 + w)

Reorder the terms:
30 + -4(1 + 2w) = 6w + -4(6 + w)
30 + (1 * -4 + 2w * -4) = 6w + -4(6 + w)
30 + (-4 + -8w) = 6w + -4(6 + w)

Combine like terms: 30 + -4 = 26
26 + -8w = 6w + -4(6 + w)
26 + -8w = 6w + (6 * -4 + w * -4)
26 + -8w = 6w + (-24 + -4w)

Reorder the terms:
26 + -8w = -24 + 6w + -4w

Combine like terms: 6w + -4w = 2w
26 + -8w = -24 + 2w

Solving
26 + -8w = -24 + 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.
26 + -8w + -2w = -24 + 2w + -2w

Combine like terms: -8w + -2w = -10w
26 + -10w = -24 + 2w + -2w

Combine like terms: 2w + -2w = 0
26 + -10w = -24 + 0
26 + -10w = -24

Add '-26' to each side of the equation.
26 + -26 + -10w = -24 + -26

Combine like terms: 26 + -26 = 0
0 + -10w = -24 + -26
-10w = -24 + -26

Combine like terms: -24 + -26 = -50
-10w = -50

Divide each side by '-10'.
w = 5

Simplifying
w = 5