Algebra Examples

$3 h = 7 (\frac{2}{7} - \frac{3}{7} h) - 10$

Step 1

Simplify $7 (\frac{2}{7} - \frac{3}{7} h) - 10$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Simplify each term.

Tap for more steps...

Step 1.1.1.1

Combine $h$ and $\frac{3}{7}$ .

$3 h = 7 (\frac{2}{7} - \frac{h \cdot 3}{7}) - 10$

Step 1.1.1.2

Move $3$ to the left of $h$ .

$3 h = 7 (\frac{2}{7} - \frac{3 h}{7}) - 10$

Step 1.1.2

Apply the distributive property.

$3 h = 7 (\frac{2}{7}) + 7 (- \frac{3 h}{7}) - 10$

Step 1.1.3

Cancel the common factor of $7$ .

Tap for more steps...

Step 1.1.3.1

Cancel the common factor.

$3 h = 7 (\frac{2}{7}) + 7 (- \frac{3 h}{7}) - 10$

Step 1.1.3.2

Rewrite the expression.

$3 h = 2 + 7 (- \frac{3 h}{7}) - 10$

Step 1.1.4

Cancel the common factor of $7$ .

Tap for more steps...

Step 1.1.4.1

Move the leading negative in $- \frac{3 h}{7}$ into the numerator.

$3 h = 2 + 7 \frac{- 3 h}{7} - 10$

Step 1.1.4.2

Cancel the common factor.

$3 h = 2 + 7 \frac{- 3 h}{7} - 10$

Step 1.1.4.3

Rewrite the expression.

$3 h = 2 - 3 h - 10$

Step 1.2

Subtract $10$ from $2$ .

$3 h = - 3 h - 8$

Step 2

Move all terms containing $h$ to the left side of the equation.

Tap for more steps...

Step 2.1

Add $3 h$ to both sides of the equation.

$3 h + 3 h = - 8$

Step 2.2

Add $3 h$ and $3 h$ .

$6 h = - 8$

Step 3

Divide each term in $6 h = - 8$ by $6$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $6 h = - 8$ by $6$ .

$\frac{6 h}{6} = \frac{- 8}{6}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{6 h}{6} = \frac{- 8}{6}$

Step 3.2.1.2

Divide $h$ by $1$ .

$h = \frac{- 8}{6}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Cancel the common factor of $- 8$ and $6$ .

Tap for more steps...

Step 3.3.1.1

Factor $2$ out of $- 8$ .

$h = \frac{2 (- 4)}{6}$

Step 3.3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.3.1.2.1

Factor $2$ out of $6$ .

$h = \frac{2 \cdot - 4}{2 \cdot 3}$

Step 3.3.1.2.2

Cancel the common factor.

$h = \frac{2 \cdot - 4}{2 \cdot 3}$

Step 3.3.1.2.3

Rewrite the expression.

$h = \frac{- 4}{3}$

Step 3.3.2

Move the negative in front of the fraction.

$h = - \frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{4}{3}$

Decimal Form:

$h = - 1.\overline{3}$

Mixed Number Form:

$h = - 1 \frac{1}{3}$