Basic Math Examples

$5 u + 5 (1 - u) = u + 8$

Step 1

Simplify $5 u + 5 (1 - u)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$5 u + 5 \cdot 1 + 5 (- u) = u + 8$

Step 1.1.2

Multiply $5$ by $1$ .

$5 u + 5 + 5 (- u) = u + 8$

Step 1.1.3

Multiply $- 1$ by $5$ .

$5 u + 5 - 5 u = u + 8$

Step 1.2

Combine the opposite terms in $5 u + 5 - 5 u$ .

Tap for more steps...

Step 1.2.1

Subtract $5 u$ from $5 u$ .

$0 + 5 = u + 8$

Step 1.2.2

Add $0$ and $5$ .

$5 = u + 8$

Step 2

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

$u + 8 = 5$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $8$ from both sides of the equation.

$u = 5 - 8$

Step 3.2

Subtract $8$ from $5$ .

$u = - 3$