Algebra Examples

$\frac{1}{4} z - \frac{2}{7} = \frac{5}{7}$

Step 1

Combine $\frac{1}{4}$ and $z$ .

$\frac{z}{4} - \frac{2}{7} = \frac{5}{7}$

Step 2

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

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Step 2.1

Add $\frac{2}{7}$ to both sides of the equation.

$\frac{z}{4} = \frac{5}{7} + \frac{2}{7}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{z}{4} = \frac{5 + 2}{7}$

Step 2.3

Add $5$ and $2$ .

$\frac{z}{4} = \frac{7}{7}$

Step 2.4

Divide $7$ by $7$ .

$\frac{z}{4} = 1$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{z}{4} = 4 \cdot 1$

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

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{z}{4} = 4 \cdot 1$

Step 4.1.1.2

Rewrite the expression.

$z = 4 \cdot 1$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $1$ .

$z = 4$