Solve for u 5u+23=6u+4u-17

$5 u + 23 = 6 u + 4 u - 17$

Step 1

Since $u$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 u + 4 u - 17 = 5 u + 23$

Step 2

Add $6 u$ and $4 u$ .

$10 u - 17 = 5 u + 23$

Step 3

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

Subtract $5 u$ from both sides of the equation.

$10 u - 17 - 5 u = 23$

Subtract $5 u$ from $10 u$ .

$5 u - 17 = 23$

Step 4

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

Add $17$ to both sides of the equation.

$5 u = 23 + 17$

Add $23$ and $17$ .

$5 u = 40$

Step 5

Divide each term in $5 u = 40$ by $5$ and simplify.

Divide each term in $5 u = 40$ by $5$ .

$\frac{5 u}{5} = \frac{40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 u}{5} = \frac{40}{5}$

Divide $u$ by $1$ .

$u = \frac{40}{5}$

Simplify the right side.

Divide $40$ by $5$ .

$u = 8$