Pre-Algebra Examples

$3 x - 5 = 5$

Step 1

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

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Step 1.1

Add $5$ to both sides of the equation.

$3 x = 5 + 5$

Step 1.2

Add $5$ and $5$ .

$3 x = 10$

Step 2

Divide each term in $3 x = 10$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 x = 10$ by $3$ .

$\frac{3 x}{3} = \frac{10}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{10}{3}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{3}$

Decimal Form:

$x = 3.\overline{3}$

Mixed Number Form:

$x = 3 \frac{1}{3}$