Trigonometry Examples

$x + (x + 2) + (x + 4) + (x + 6) = 84$

Step 1

Simplify $x + x + 2 + x + 4 + x + 6$ .

Tap for more steps...

Step 1.1

Add $x$ and $x$ .

$2 x + 2 + x + 4 + x + 6 = 84$

Step 1.2

Add $2 x$ and $x$ .

$3 x + 2 + 4 + x + 6 = 84$

Step 1.3

Add $3 x$ and $x$ .

$4 x + 2 + 4 + 6 = 84$

Step 1.4

Simplify by adding numbers.

Tap for more steps...

Step 1.4.1

Add $2$ and $4$ .

$4 x + 6 + 6 = 84$

Step 1.4.2

Add $6$ and $6$ .

$4 x + 12 = 84$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $12$ from both sides of the equation.

$4 x = 84 - 12$

Step 2.2

Subtract $12$ from $84$ .

$4 x = 72$

Step 3

Divide each term in $4 x = 72$ by $4$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $4 x = 72$ by $4$ .

$\frac{4 x}{4} = \frac{72}{4}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{72}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{72}{4}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $72$ by $4$ .

$x = 18$