Solve for u 8u=3u+35

$8 u = 3 u + 35$

Step 1

Move all terms containing $u$ to the left side of the equation.

Subtract $3 u$ from both sides of the equation.

$8 u - 3 u = 35$

Subtract $3 u$ from $8 u$ .

$5 u = 35$

Step 2

Divide each term in $5 u = 35$ by $5$ and simplify.

Divide each term in $5 u = 35$ by $5$ .

$\frac{5 u}{5} = \frac{35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 u}{5} = \frac{35}{5}$

Divide $u$ by $1$ .

$u = \frac{35}{5}$

Simplify the right side.

Divide $35$ by $5$ .

$u = 7$