2(u-1)+w=5(w-1)+9

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Solution for 2(u-1)+w=5(w-1)+9 equation:


Simplifying
2(u + -1) + w = 5(w + -1) + 9

Reorder the terms:
2(-1 + u) + w = 5(w + -1) + 9
(-1 * 2 + u * 2) + w = 5(w + -1) + 9
(-2 + 2u) + w = 5(w + -1) + 9

Reorder the terms:
-2 + 2u + w = 5(-1 + w) + 9
-2 + 2u + w = (-1 * 5 + w * 5) + 9
-2 + 2u + w = (-5 + 5w) + 9

Reorder the terms:
-2 + 2u + w = -5 + 9 + 5w

Combine like terms: -5 + 9 = 4
-2 + 2u + w = 4 + 5w

Solving
-2 + 2u + w = 4 + 5w

Solving for variable 'u'.

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

Add '2' to each side of the equation.
-2 + 2u + 2 + w = 4 + 2 + 5w

Reorder the terms:
-2 + 2 + 2u + w = 4 + 2 + 5w

Combine like terms: -2 + 2 = 0
0 + 2u + w = 4 + 2 + 5w
2u + w = 4 + 2 + 5w

Combine like terms: 4 + 2 = 6
2u + w = 6 + 5w

Add '-1w' to each side of the equation.
2u + w + -1w = 6 + 5w + -1w

Combine like terms: w + -1w = 0
2u + 0 = 6 + 5w + -1w
2u = 6 + 5w + -1w

Combine like terms: 5w + -1w = 4w
2u = 6 + 4w

Divide each side by '2'.
u = 3 + 2w

Simplifying
u = 3 + 2w

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