Trigonometry Examples

$\frac{x \cdot 2}{3} - \frac{x \cdot 1}{3} - 6 = 0$

Step 1

Simplify $\frac{x \cdot 2}{3} - \frac{x \cdot 1}{3} - 6$ .

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Step 1.1

Combine the numerators over the common denominator.

$- 6 + \frac{x \cdot 2 - x \cdot 1}{3} = 0$

Step 1.2

Simplify each term.

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Step 1.2.1

Move $2$ to the left of $x$ .

$- 6 + \frac{2 \cdot x - x \cdot 1}{3} = 0$

Step 1.2.2

Multiply $- 1$ by $1$ .

$- 6 + \frac{2 x - x}{3} = 0$

Step 1.3

Subtract $x$ from $2 x$ .

$- 6 + \frac{x}{3} = 0$

Step 2

Add $6$ to both sides of the equation.

$\frac{x}{3} = 6$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{x}{3} = 3 \cdot 6$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $3$ .

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Step 4.1.1.1

Cancel the common factor.

$3 \frac{x}{3} = 3 \cdot 6$

Step 4.1.1.2

Rewrite the expression.

$x = 3 \cdot 6$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $3$ by $6$ .

$x = 18$