5w-(x+3)=0.333333333(9w+18)-5

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Solution for 5w-(x+3)=0.333333333(9w+18)-5 equation:


Simplifying
5w + -1(x + 3) = 0.333333333(9w + 18) + -5

Reorder the terms:
5w + -1(3 + x) = 0.333333333(9w + 18) + -5
5w + (3 * -1 + x * -1) = 0.333333333(9w + 18) + -5
5w + (-3 + -1x) = 0.333333333(9w + 18) + -5

Reorder the terms:
-3 + 5w + -1x = 0.333333333(9w + 18) + -5

Reorder the terms:
-3 + 5w + -1x = 0.333333333(18 + 9w) + -5
-3 + 5w + -1x = (18 * 0.333333333 + 9w * 0.333333333) + -5
-3 + 5w + -1x = (5.999999994 + 2.999999997w) + -5

Reorder the terms:
-3 + 5w + -1x = 5.999999994 + -5 + 2.999999997w

Combine like terms: 5.999999994 + -5 = 0.999999994
-3 + 5w + -1x = 0.999999994 + 2.999999997w

Solving
-3 + 5w + -1x = 0.999999994 + 2.999999997w

Solving for variable 'w'.

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

Add '-2.999999997w' to each side of the equation.
-3 + 5w + -2.999999997w + -1x = 0.999999994 + 2.999999997w + -2.999999997w

Combine like terms: 5w + -2.999999997w = 2.000000003w
-3 + 2.000000003w + -1x = 0.999999994 + 2.999999997w + -2.999999997w

Combine like terms: 2.999999997w + -2.999999997w = 0.000000000
-3 + 2.000000003w + -1x = 0.999999994 + 0.000000000
-3 + 2.000000003w + -1x = 0.999999994

Add '3' to each side of the equation.
-3 + 2.000000003w + 3 + -1x = 0.999999994 + 3

Reorder the terms:
-3 + 3 + 2.000000003w + -1x = 0.999999994 + 3

Combine like terms: -3 + 3 = 0
0 + 2.000000003w + -1x = 0.999999994 + 3
2.000000003w + -1x = 0.999999994 + 3

Combine like terms: 0.999999994 + 3 = 3.999999994
2.000000003w + -1x = 3.999999994

Add 'x' to each side of the equation.
2.000000003w + -1x + x = 3.999999994 + x

Combine like terms: -1x + x = 0
2.000000003w + 0 = 3.999999994 + x
2.000000003w = 3.999999994 + x

Divide each side by '2.000000003'.
w = 1.999999994 + 0.4999999993x

Simplifying
w = 1.999999994 + 0.4999999993x

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