Trigonometry Examples

$5 = \frac{4 - 2 x}{3}$

Step 1

Rewrite the equation as $\frac{4 - 2 x}{3} = 5$ .

$\frac{4 - 2 x}{3} = 5$

Step 2

Multiply both sides by $3$ .

$\frac{4 - 2 x}{3} \cdot 3 = 5 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{4 - 2 x}{3} \cdot 3$ .

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Step 3.1.1.1

Factor $2$ out of $4 - 2 x$ .

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Step 3.1.1.1.1

Factor $2$ out of $4$ .

$\frac{2 (2) - 2 x}{3} \cdot 3 = 5 \cdot 3$

Step 3.1.1.1.2

Factor $2$ out of $- 2 x$ .

$\frac{2 (2) + 2 (- x)}{3} \cdot 3 = 5 \cdot 3$

Step 3.1.1.1.3

Factor $2$ out of $2 (2) + 2 (- x)$ .

$\frac{2 (2 - x)}{3} \cdot 3 = 5 \cdot 3$

$\frac{2 (2 - x)}{3} \cdot 3 = 5 \cdot 3$

Step 3.1.1.2

Cancel the common factor of $3$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{2 (2 - x)}{3} \cdot 3 = 5 \cdot 3$

Step 3.1.1.2.2

Rewrite the expression.

$2 (2 - x) = 5 \cdot 3$

$2 (2 - x) = 5 \cdot 3$

Step 3.1.1.3

Apply the distributive property.

$2 \cdot 2 + 2 (- x) = 5 \cdot 3$

Step 3.1.1.4

Simplify the expression.

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Step 3.1.1.4.1

Multiply $2$ by $2$ .

$4 + 2 (- x) = 5 \cdot 3$

Step 3.1.1.4.2

Multiply $- 1$ by $2$ .

$4 - 2 x = 5 \cdot 3$

Step 3.1.1.4.3

Reorder $4$ and $- 2 x$ .

$- 2 x + 4 = 5 \cdot 3$

$- 2 x + 4 = 5 \cdot 3$

$- 2 x + 4 = 5 \cdot 3$

$- 2 x + 4 = 5 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $3$ .

$- 2 x + 4 = 15$

$- 2 x + 4 = 15$

$- 2 x + 4 = 15$

Step 4

Solve for $x$ .

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Step 4.1

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

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Step 4.1.1

Subtract $4$ from both sides of the equation.

$- 2 x = 15 - 4$

Step 4.1.2

Subtract $4$ from $15$ .

$- 2 x = 11$

$- 2 x = 11$

Step 4.2

Divide each term in $- 2 x = 11$ by $- 2$ and simplify.

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Step 4.2.1

Divide each term in $- 2 x = 11$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{11}{- 2}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{11}{- 2}$

Step 4.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{11}{- 2}$

$x = \frac{11}{- 2}$

$x = \frac{11}{- 2}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Move the negative in front of the fraction.

$x = - \frac{11}{2}$

$x = - \frac{11}{2}$

$x = - \frac{11}{2}$

$x = - \frac{11}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{2}$

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$