Basic Math Examples

$\frac{3 a - 7}{2} = \frac{5}{1}$

Step 1

Multiply both sides by $2$ .

$\frac{3 a - 7}{2} \cdot 2 = \frac{5}{1} \cdot 2$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{3 a - 7}{2} \cdot 2 = \frac{5}{1} \cdot 2$

Step 2.1.1.2

Rewrite the expression.

$3 a - 7 = \frac{5}{1} \cdot 2$

$3 a - 7 = \frac{5}{1} \cdot 2$

$3 a - 7 = \frac{5}{1} \cdot 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{1} \cdot 2$ .

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Step 2.2.1.1

Divide $5$ by $1$ .

$3 a - 7 = 5 \cdot 2$

Step 2.2.1.2

Multiply $5$ by $2$ .

$3 a - 7 = 10$

$3 a - 7 = 10$

$3 a - 7 = 10$

$3 a - 7 = 10$

Step 3

Solve for $a$ .

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Step 3.1

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

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Step 3.1.1

Add $7$ to both sides of the equation.

$3 a = 10 + 7$

Step 3.1.2

Add $10$ and $7$ .

$3 a = 17$

$3 a = 17$

Step 3.2

Divide each term in $3 a = 17$ by $3$ and simplify.

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Step 3.2.1

Divide each term in $3 a = 17$ by $3$ .

$\frac{3 a}{3} = \frac{17}{3}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $3$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{3 a}{3} = \frac{17}{3}$

Step 3.2.2.1.2

Divide $a$ by $1$ .

$a = \frac{17}{3}$

$a = \frac{17}{3}$

$a = \frac{17}{3}$

$a = \frac{17}{3}$

$a = \frac{17}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \frac{17}{3}$

Decimal Form:

$a = 5.\overline{6}$

Mixed Number Form:

$a = 5 \frac{2}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$