Solve for q 7/4q-2=-5

$\frac{7}{4} q - 2 = - 5$

Step 1

Combine $\frac{7}{4}$ and $q$ .

$\frac{7 q}{4} - 2 = - 5$

Step 2

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

Add $2$ to both sides of the equation.

$\frac{7 q}{4} = - 5 + 2$

Add $- 5$ and $2$ .

$\frac{7 q}{4} = - 3$

Step 3

Multiply both sides of the equation by $\frac{4}{7}$ .

$\frac{4}{7} \cdot \frac{7 q}{4} = \frac{4}{7} \cdot - 3$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{7} \cdot \frac{7 q}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{7} \cdot \frac{7 q}{4} = \frac{4}{7} \cdot - 3$

Rewrite the expression.

$\frac{1}{7} (7 q) = \frac{4}{7} \cdot - 3$

Cancel the common factor of $7$ .

Factor $7$ out of $7 q$ .

$\frac{1}{7} (7 (q)) = \frac{4}{7} \cdot - 3$

Cancel the common factor.

$\frac{1}{7} (7 q) = \frac{4}{7} \cdot - 3$

Rewrite the expression.

$q = \frac{4}{7} \cdot - 3$

Simplify the right side.

Simplify $\frac{4}{7} \cdot - 3$ .

Multiply $\frac{4}{7} \cdot - 3$ .

Combine $\frac{4}{7}$ and $- 3$ .

$q = \frac{4 \cdot - 3}{7}$

Multiply $4$ by $- 3$ .

$q = \frac{- 12}{7}$

Move the negative in front of the fraction.

$q = - \frac{12}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$q = - \frac{12}{7}$

Decimal Form:

$q = - 1.\overline{714285}$

Mixed Number Form:

$q = - 1 \frac{5}{7}$

Solve for q 7/4q-2=-5

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