Algebra Examples

$9 x + (- 2 x + 8) = 3 x + (5 - 6 x) - (- 5 x - 18)$

Step 1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1

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

$9 x + (- 2 x + 8) - 3 x = (5 - 6 x) - (- 5 x - 18)$

Step 1.2

Subtract $5$ from both sides of the equation.

$9 x + (- 2 x + 8) - 3 x - 5 = (- 6 x) - (- 5 x - 18)$

Step 1.3

Add $6 x$ to both sides of the equation.

$9 x + (- 2 x + 8) - 3 x - 5 + 6 x = - (- 5 x - 18)$

Step 1.4

Add $- 5 x - 18$ to both sides of the equation.

$9 x + (- 2 x + 8) - 3 x - 5 + 6 x - 5 x - 18 = 0$

Step 2

Simplify $9 x + (- 2 x + 8) - 3 x - 5 + 6 x - 5 x - 18$ .

Tap for more steps...

Step 2.1

Subtract $2 x$ from $9 x$ .

$7 x + 8 - 3 x - 5 + 6 x - 5 x - 18 = 0$

Step 2.2

Subtract $3 x$ from $7 x$ .

$4 x + 8 - 5 + 6 x - 5 x - 18 = 0$

Step 2.3

Add $4 x$ and $6 x$ .

$10 x + 8 - 5 - 5 x - 18 = 0$

Step 2.4

Subtract $5 x$ from $10 x$ .

$5 x + 8 - 5 - 18 = 0$

Step 2.5

Subtract $5$ from $8$ .

$5 x + 3 - 18 = 0$

Step 2.6

Subtract $18$ from $3$ .

$5 x - 15 = 0$

Step 3

Factor $5$ out of $5 x - 15$ .

Tap for more steps...

Step 3.1

Factor $5$ out of $5 x$ .

$5 (x) - 15 = 0$

Step 3.2

Factor $5$ out of $- 15$ .

$5 x + 5 \cdot - 3 = 0$

Step 3.3

Factor $5$ out of $5 x + 5 \cdot - 3$ .

$5 (x - 3) = 0$

Step 4

Divide each term in $5 (x - 3) = 0$ by $5$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $5 (x - 3) = 0$ by $5$ .

$\frac{5 (x - 3)}{5} = \frac{0}{5}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{5 (x - 3)}{5} = \frac{0}{5}$

Step 4.2.1.2

Divide $x - 3$ by $1$ .

$x - 3 = \frac{0}{5}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $0$ by $5$ .

$x - 3 = 0$

Step 5

Add $3$ to both sides of the equation.

$x = 3$