Trigonometry Examples

$7 (3 x + 5) = 11 - (x - 9)$

Step 1

Simplify $7 (3 x + 5)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 + 7 (3 x + 5) = 11 - (x - 9)$

Step 1.2

Simplify by adding zeros.

$7 (3 x + 5) = 11 - (x - 9)$

Step 1.3

Apply the distributive property.

$7 (3 x) + 7 \cdot 5 = 11 - (x - 9)$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $3$ by $7$ .

$21 x + 7 \cdot 5 = 11 - (x - 9)$

Step 1.4.2

Multiply $7$ by $5$ .

$21 x + 35 = 11 - (x - 9)$

Step 2

Simplify $11 - (x - 9)$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$21 x + 35 = 11 - x - - 9$

Step 2.1.2

Multiply $- 1$ by $- 9$ .

$21 x + 35 = 11 - x + 9$

Step 2.2

Add $11$ and $9$ .

$21 x + 35 = - x + 20$

Step 3

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

Tap for more steps...

Step 3.1

Add $x$ to both sides of the equation.

$21 x + 35 + x = 20$

Step 3.2

Add $21 x$ and $x$ .

$22 x + 35 = 20$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $35$ from both sides of the equation.

$22 x = 20 - 35$

Step 4.2

Subtract $35$ from $20$ .

$22 x = - 15$

Step 5

Divide each term in $22 x = - 15$ by $22$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $22 x = - 15$ by $22$ .

$\frac{22 x}{22} = \frac{- 15}{22}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $22$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{22 x}{22} = \frac{- 15}{22}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 15}{22}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Move the negative in front of the fraction.

$x = - \frac{15}{22}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{15}{22}$

Decimal Form:

$x = - 0.6\overline{81}$