6(w+3)=x-2(2-x)

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Solution for 6(w+3)=x-2(2-x) equation:


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

Reorder the terms:
6(3 + w) = x + -2(2 + -1x)
(3 * 6 + w * 6) = x + -2(2 + -1x)
(18 + 6w) = x + -2(2 + -1x)
18 + 6w = x + (2 * -2 + -1x * -2)
18 + 6w = x + (-4 + 2x)

Reorder the terms:
18 + 6w = -4 + x + 2x

Combine like terms: x + 2x = 3x
18 + 6w = -4 + 3x

Solving
18 + 6w = -4 + 3x

Solving for variable 'w'.

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

Add '-18' to each side of the equation.
18 + -18 + 6w = -4 + -18 + 3x

Combine like terms: 18 + -18 = 0
0 + 6w = -4 + -18 + 3x
6w = -4 + -18 + 3x

Combine like terms: -4 + -18 = -22
6w = -22 + 3x

Divide each side by '6'.
w = -3.666666667 + 0.5x

Simplifying
w = -3.666666667 + 0.5x

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