Basic Math Examples

$6 = - 12 + \frac{h}{- 7}$

Step 1

Rewrite the equation as $- 12 + \frac{h}{- 7} = 6$ .

$- 12 + \frac{h}{- 7} = 6$

Step 2

Move the negative in front of the fraction.

$- 12 - \frac{h}{7} = 6$

Step 3

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

Tap for more steps...

Step 3.1

Add $12$ to both sides of the equation.

$- \frac{h}{7} = 6 + 12$

Step 3.2

Add $6$ and $12$ .

$- \frac{h}{7} = 18$

Step 4

Multiply both sides of the equation by $- 7$ .

$- 7 (- \frac{h}{7}) = - 7 \cdot 18$

Step 5

Simplify both sides of the equation.

Tap for more steps...

Step 5.1

Simplify the left side.

Tap for more steps...

Step 5.1.1

Simplify $- 7 (- \frac{h}{7})$ .

Tap for more steps...

Step 5.1.1.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 5.1.1.1.1

Move the leading negative in $- \frac{h}{7}$ into the numerator.

$- 7 \frac{- h}{7} = - 7 \cdot 18$

Step 5.1.1.1.2

Factor $7$ out of $- 7$ .

$7 (- 1) \frac{- h}{7} = - 7 \cdot 18$

Step 5.1.1.1.3

Cancel the common factor.

$7 \cdot - 1 \frac{- h}{7} = - 7 \cdot 18$

Step 5.1.1.1.4

Rewrite the expression.

$- - h = - 7 \cdot 18$

Step 5.1.1.2

Multiply.

Tap for more steps...

Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 h = - 7 \cdot 18$

Step 5.1.1.2.2

Multiply $h$ by $1$ .

$h = - 7 \cdot 18$

Step 5.2

Simplify the right side.

Tap for more steps...

Step 5.2.1

Multiply $- 7$ by $18$ .

$h = - 126$