6-2(2W+1)=10W-2(10+W)

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Solution for 6-2(2W+1)=10W-2(10+W) equation:


Simplifying
6 + -2(2W + 1) = 10W + -2(10 + W)

Reorder the terms:
6 + -2(1 + 2W) = 10W + -2(10 + W)
6 + (1 * -2 + 2W * -2) = 10W + -2(10 + W)
6 + (-2 + -4W) = 10W + -2(10 + W)

Combine like terms: 6 + -2 = 4
4 + -4W = 10W + -2(10 + W)
4 + -4W = 10W + (10 * -2 + W * -2)
4 + -4W = 10W + (-20 + -2W)

Reorder the terms:
4 + -4W = -20 + 10W + -2W

Combine like terms: 10W + -2W = 8W
4 + -4W = -20 + 8W

Solving
4 + -4W = -20 + 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.
4 + -4W + -8W = -20 + 8W + -8W

Combine like terms: -4W + -8W = -12W
4 + -12W = -20 + 8W + -8W

Combine like terms: 8W + -8W = 0
4 + -12W = -20 + 0
4 + -12W = -20

Add '-4' to each side of the equation.
4 + -4 + -12W = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -12W = -20 + -4
-12W = -20 + -4

Combine like terms: -20 + -4 = -24
-12W = -24

Divide each side by '-12'.
W = 2

Simplifying
W = 2

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