Basic Math Examples

$\frac{5}{2} z - 8 = - 3$

Step 1

Combine

$\frac{5}{2}$ and

$z$ .

$\frac{5 z}{2} - 8 = - 3$

Step 2

Move all terms not containing

$z$ to the right side of the equation.

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Step 2.1

Add

$8$ to both sides of the equation.

$\frac{5 z}{2} = - 3 + 8$

Step 2.2

Add

$- 3$ and

$8$ .

$\frac{5 z}{2} = 5$

$\frac{5 z}{2} = 5$

Step 3

Multiply both sides of the equation by

$\frac{2}{5}$ .

$\frac{2}{5} \cdot \frac{5 z}{2} = \frac{2}{5} \cdot 5$

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

Simplify

$\frac{2}{5} \cdot \frac{5 z}{2}$ .

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Step 4.1.1.1

Cancel the common factor of

$2$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 z}{2} = \frac{2}{5} \cdot 5$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{5} (5 z) = \frac{2}{5} \cdot 5$

$\frac{1}{5} (5 z) = \frac{2}{5} \cdot 5$

Step 4.1.1.2

Cancel the common factor of

$5$ .

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Step 4.1.1.2.1

Factor

$5$ out of

$5 z$ .

$\frac{1}{5} (5 (z)) = \frac{2}{5} \cdot 5$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{5} (5 z) = \frac{2}{5} \cdot 5$

Step 4.1.1.2.3

Rewrite the expression.

$z = \frac{2}{5} \cdot 5$

$z = \frac{2}{5} \cdot 5$

$z = \frac{2}{5} \cdot 5$

$z = \frac{2}{5} \cdot 5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Cancel the common factor of

$5$ .

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Step 4.2.1.1

Cancel the common factor.

$z = \frac{2}{5} \cdot 5$

Step 4.2.1.2

Rewrite the expression.

$z = 2$

$z = 2$

$z = 2$

$z = 2$

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