Basic Math Examples

$- 1 + \frac{1}{5} t = - \frac{6}{5}$

Step 1

Combine $\frac{1}{5}$ and $t$ .

$- 1 + \frac{t}{5} = - \frac{6}{5}$

Step 2

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

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Step 2.1

Add $1$ to both sides of the equation.

$\frac{t}{5} = - \frac{6}{5} + 1$

Step 2.2

Write $1$ as a fraction with a common denominator.

$\frac{t}{5} = - \frac{6}{5} + \frac{5}{5}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{t}{5} = \frac{- 6 + 5}{5}$

Step 2.4

Add $- 6$ and $5$ .

$\frac{t}{5} = \frac{- 1}{5}$

Step 2.5

Move the negative in front of the fraction.

$\frac{t}{5} = - \frac{1}{5}$

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$t = - 1$