Trigonometry Examples

$f (x) = 2 x + 3$ , $f (x) = - 5$

Step 1

Substitute $- 5$ for $f (x)$ .

$- 5 = 2 x + 3$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $2 x + 3 = - 5$ .

$2 x + 3 = - 5$

Step 2.2

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

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Step 2.2.1

Subtract $3$ from both sides of the equation.

$2 x = - 5 - 3$

Step 2.2.2

Subtract $3$ from $- 5$ .

$2 x = - 8$

Step 2.3

Divide each term in $2 x = - 8$ by $2$ and simplify.

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Step 2.3.1

Divide each term in $2 x = - 8$ by $2$ .

$\frac{2 x}{2} = \frac{- 8}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 8}{2}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $- 8$ by $2$ .

$x = - 4$