Precalculus Examples

$5 + \frac{1}{3} x = 7$

Step 1

Combine $\frac{1}{3}$ and $x$ .

$5 + \frac{x}{3} = 7$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $5$ from both sides of the equation.

$\frac{x}{3} = 7 - 5$

Step 2.2

Subtract $5$ from $7$ .

$\frac{x}{3} = 2$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{x}{3} = 3 \cdot 2$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor.

$3 \frac{x}{3} = 3 \cdot 2$

Step 4.1.1.2

Rewrite the expression.

$x = 3 \cdot 2$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Multiply $3$ by $2$ .

$x = 6$