u-0.17u+2.5=2.5(u+.22)

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Solution for u-0.17u+2.5=2.5(u+.22) equation:


Simplifying
u + -0.17u + 2.5 = 2.5(u + 0.22)

Reorder the terms:
2.5 + u + -0.17u = 2.5(u + 0.22)

Combine like terms: u + -0.17u = 0.83u
2.5 + 0.83u = 2.5(u + 0.22)

Reorder the terms:
2.5 + 0.83u = 2.5(0.22 + u)
2.5 + 0.83u = (0.22 * 2.5 + u * 2.5)
2.5 + 0.83u = (0.55 + 2.5u)

Solving
2.5 + 0.83u = 0.55 + 2.5u

Solving for variable 'u'.

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

Add '-2.5u' to each side of the equation.
2.5 + 0.83u + -2.5u = 0.55 + 2.5u + -2.5u

Combine like terms: 0.83u + -2.5u = -1.67u
2.5 + -1.67u = 0.55 + 2.5u + -2.5u

Combine like terms: 2.5u + -2.5u = 0.0
2.5 + -1.67u = 0.55 + 0.0
2.5 + -1.67u = 0.55

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1.67u = 0.55 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.67u = 0.55 + -2.5
-1.67u = 0.55 + -2.5

Combine like terms: 0.55 + -2.5 = -1.95
-1.67u = -1.95

Divide each side by '-1.67'.
u = 1.167664671

Simplifying
u = 1.167664671

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