Basic Math Examples

$4 = \frac{5}{3} \cdot (- 3) + b$

Step 1

Rewrite the equation as $\frac{5}{3} \cdot - 3 + b = 4$ .

$\frac{5}{3} \cdot - 3 + b = 4$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Factor $3$ out of $- 3$ .

$\frac{5}{3} \cdot (3 (- 1)) + b = 4$

Step 2.1.2

Cancel the common factor.

$\frac{5}{3} \cdot (3 \cdot - 1) + b = 4$

Step 2.1.3

Rewrite the expression.

$5 \cdot - 1 + b = 4$

Step 2.2

Multiply $5$ by $- 1$ .

$- 5 + b = 4$

Step 3

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

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Step 3.1

Add $5$ to both sides of the equation.

$b = 4 + 5$

Step 3.2

Add $4$ and $5$ .

$b = 9$