Trigonometry Examples

$6 x - 5 = 4 x + 4$

Step 1

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

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Step 1.1

Subtract $4 x$ from both sides of the equation.

$6 x - 5 - 4 x = 4$

Step 1.2

Subtract $4 x$ from $6 x$ .

$2 x - 5 = 4$

Step 2

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

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Step 2.1

Add $5$ to both sides of the equation.

$2 x = 4 + 5$

Step 2.2

Add $4$ and $5$ .

$2 x = 9$

Step 3

Divide each term in $2 x = 9$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 9$ by $2$ .

$\frac{2 x}{2} = \frac{9}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{9}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{2}$

Decimal Form:

$x = 4.5$

Mixed Number Form:

$x = 4 \frac{1}{2}$