Algebra Examples

$2 + \frac{x + 8}{3} + 1 = 0$

Step 1

Simplify $2 + \frac{x + 8}{3} + 1$ .

Tap for more steps...

Step 1.1

Find the common denominator.

Tap for more steps...

Step 1.1.1

Write $2$ as a fraction with denominator $1$ .

$\frac{2}{1} + \frac{x + 8}{3} + 1 = 0$

Step 1.1.2

Multiply $\frac{2}{1}$ by $\frac{3}{3}$ .

$\frac{2}{1} \cdot \frac{3}{3} + \frac{x + 8}{3} + 1 = 0$

Step 1.1.3

Multiply $\frac{2}{1}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 3}{3} + \frac{x + 8}{3} + 1 = 0$

Step 1.1.4

Write $1$ as a fraction with denominator $1$ .

$\frac{2 \cdot 3}{3} + \frac{x + 8}{3} + \frac{1}{1} = 0$

Step 1.1.5

Multiply $\frac{1}{1}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 3}{3} + \frac{x + 8}{3} + \frac{1}{1} \cdot \frac{3}{3} = 0$

Step 1.1.6

Multiply $\frac{1}{1}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 3}{3} + \frac{x + 8}{3} + \frac{3}{3} = 0$

Step 1.2

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + x + 8 + 3}{3} = 0$

Step 1.3

Simplify the expression.

Tap for more steps...

Step 1.3.1

Multiply $2$ by $3$ .

$\frac{6 + x + 8 + 3}{3} = 0$

Step 1.3.2

Add $6$ and $8$ .

$\frac{x + 14 + 3}{3} = 0$

Step 1.3.3

Add $14$ and $3$ .

$\frac{x + 17}{3} = 0$

Step 2

Set the numerator equal to zero.

$x + 17 = 0$

Step 3

Subtract $17$ from both sides of the equation.

$x = - 17$