Basic Math Examples

$\frac{t - 7}{4} = - \frac{1}{2}$

Step 1

Multiply both sides of the equation by $4$ .

$4 \frac{t - 7}{4} = 4 (- \frac{1}{2})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $4$ .

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Step 2.1.1.1

Cancel the common factor.

$4 \frac{t - 7}{4} = 4 (- \frac{1}{2})$

Step 2.1.1.2

Rewrite the expression.

$t - 7 = 4 (- \frac{1}{2})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $4 (- \frac{1}{2})$ .

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Step 2.2.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$t - 7 = 4 (\frac{- 1}{2})$

Step 2.2.1.1.2

Factor $2$ out of $4$ .

$t - 7 = 2 (2) \frac{- 1}{2}$

Step 2.2.1.1.3

Cancel the common factor.

$t - 7 = 2 \cdot 2 \frac{- 1}{2}$

Step 2.2.1.1.4

Rewrite the expression.

$t - 7 = 2 \cdot - 1$

Step 2.2.1.2

Multiply $2$ by $- 1$ .

$t - 7 = - 2$

Step 3

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

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Step 3.1

Add $7$ to both sides of the equation.

$t = - 2 + 7$

Step 3.2

Add $- 2$ and $7$ .

$t = 5$