Algebra Examples

$7 = 5 - \frac{1}{3} m$

Step 1

Rewrite the equation as $5 - \frac{1}{3} m = 7$ .

$5 - \frac{1}{3} m = 7$

Step 2

Combine $m$ and $\frac{1}{3}$ .

$5 - \frac{m}{3} = 7$

Step 3

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

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Step 3.1

Subtract $5$ from both sides of the equation.

$- \frac{m}{3} = 7 - 5$

Step 3.2

Subtract $5$ from $7$ .

$- \frac{m}{3} = 2$

Step 4

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{m}{3}) = - 3 \cdot 2$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $- 3 (- \frac{m}{3})$ .

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Step 5.1.1.1

Cancel the common factor of $3$ .

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Step 5.1.1.1.1

Move the leading negative in $- \frac{m}{3}$ into the numerator.

$- 3 \frac{- m}{3} = - 3 \cdot 2$

Step 5.1.1.1.2

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- m}{3} = - 3 \cdot 2$

Step 5.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{- m}{3} = - 3 \cdot 2$

Step 5.1.1.1.4

Rewrite the expression.

$- - m = - 3 \cdot 2$

Step 5.1.1.2

Multiply.

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Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 m = - 3 \cdot 2$

Step 5.1.1.2.2

Multiply $m$ by $1$ .

$m = - 3 \cdot 2$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $- 3$ by $2$ .

$m = - 6$