Basic Math Examples

$\frac{3 (a + 1)}{10} = 3$

Step 1

Multiply both sides of the equation by $\frac{10}{3}$ .

$\frac{10}{3} \cdot \frac{3 (a + 1)}{10} = \frac{10}{3} \cdot 3$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{10}{3} \cdot \frac{3 (a + 1)}{10}$ .

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Step 2.1.1.1

Cancel the common factor of $10$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{10}{3} \cdot \frac{3 (a + 1)}{10} = \frac{10}{3} \cdot 3$

Step 2.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 (a + 1)) = \frac{10}{3} \cdot 3$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{1}{3} (3 (a + 1)) = \frac{10}{3} \cdot 3$

Step 2.1.1.2.2

Rewrite the expression.

$a + 1 = \frac{10}{3} \cdot 3$

Step 2.2

Simplify the right 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.

$a + 1 = \frac{10}{3} \cdot 3$

Step 2.2.1.2

Rewrite the expression.

$a + 1 = 10$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the equation.

$a = 10 - 1$

Step 3.2

Subtract $1$ from $10$ .

$a = 9$