Algebra Examples

$k (- 7) = 10 t - 19$

Step 1

Rewrite the equation as $10 t - 19 = k (- 7)$ .

$10 t - 19 = k (- 7)$

Step 2

Move $- 7$ to the left of $k$ .

$10 t - 19 = - 7 k$

Step 3

Add $19$ to both sides of the equation.

$10 t = - 7 k + 19$

Step 4

Divide each term in $10 t = - 7 k + 19$ by $10$ and simplify.

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Step 4.1

Divide each term in $10 t = - 7 k + 19$ by $10$ .

$\frac{10 t}{10} = \frac{- 7 k}{10} + \frac{19}{10}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $10$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{10 t}{10} = \frac{- 7 k}{10} + \frac{19}{10}$

Step 4.2.1.2

Divide $t$ by $1$ .

$t = \frac{- 7 k}{10} + \frac{19}{10}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$t = - \frac{7 k}{10} + \frac{19}{10}$