Algebra Examples

$8 x = x - 3 (10 + x)$

Step 1

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

$x - 3 (10 + x) = 8 x$

Step 2

Simplify $x - 3 (10 + x)$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$x - 3 \cdot 10 - 3 x = 8 x$

Step 2.1.2

Multiply $- 3$ by $10$ .

$x - 30 - 3 x = 8 x$

Step 2.2

Subtract $3 x$ from $x$ .

$- 2 x - 30 = 8 x$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $8 x$ from both sides of the equation.

$- 2 x - 30 - 8 x = 0$

Step 3.2

Subtract $8 x$ from $- 2 x$ .

$- 10 x - 30 = 0$

Step 4

Add $30$ to both sides of the equation.

$- 10 x = 30$

Step 5

Divide each term in $- 10 x = 30$ by $- 10$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $- 10 x = 30$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{30}{- 10}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $- 10$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{30}{- 10}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{30}{- 10}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $30$ by $- 10$ .

$x = - 3$