Solve for u (u-5)/2=3/5

$\frac{u - 5}{2} = \frac{3}{5}$

Multiply both sides of the equation by $2$ .

$2 \cdot \frac{u - 5}{2} = 2 \cdot \frac{3}{5}$

Simplify both sides of the equation.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$2 \cdot \frac{u - 5}{2} = 2 \cdot \frac{3}{5}$

Rewrite the expression.

$u - 5 = 2 \cdot \frac{3}{5}$

Multiply $2 (\frac{3}{5})$ .

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Combine $2$ and $\frac{3}{5}$ .

$u - 5 = \frac{2 \cdot 3}{5}$

Multiply $2$ by $3$ .

$u - 5 = \frac{6}{5}$

Move all terms not containing $u$ to the right side of the equation.

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Add $5$ to both sides of the equation.

$u = \frac{6}{5} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$u = \frac{6}{5} + 5 \cdot \frac{5}{5}$

Combine $5$ and $\frac{5}{5}$ .

$u = \frac{6}{5} + \frac{5 \cdot 5}{5}$

Combine the numerators over the common denominator.

$u = \frac{6 + 5 \cdot 5}{5}$

Simplify the numerator.

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Multiply $5$ by $5$ .

$u = \frac{6 + 25}{5}$

Add $6$ and $25$ .

$u = \frac{31}{5}$

The result can be shown in multiple forms.

Exact Form:

$u = \frac{31}{5}$

Decimal Form:

$u = 6.2$

Mixed Number Form:

$u = 6 \frac{1}{5}$

Solve for u (u-5)/2=3/5

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