Solve for x -7=5/4x

$- 7 = \frac{5}{4} x$

Step 1

Rewrite the equation as $\frac{5}{4} x = - 7$ .

$\frac{5}{4} x = - 7$

Step 2

Multiply both sides of the equation by $\frac{4}{5}$ .

$\frac{4}{5} (\frac{5}{4} x) = \frac{4}{5} \cdot - 7$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{5} (\frac{5}{4} x)$ .

Combine $\frac{5}{4}$ and $x$ .

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot - 7$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot - 7$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot - 7$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{4}{5} \cdot - 7$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot - 7$

Rewrite the expression.

$x = \frac{4}{5} \cdot - 7$

Simplify the right side.

Simplify $\frac{4}{5} \cdot - 7$ .

Multiply $\frac{4}{5} \cdot - 7$ .

Combine $\frac{4}{5}$ and $- 7$ .

$x = \frac{4 \cdot - 7}{5}$

Multiply $4$ by $- 7$ .

$x = \frac{- 28}{5}$

Move the negative in front of the fraction.

$x = - \frac{28}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{28}{5}$

Decimal Form:

$x = - 5.6$

Mixed Number Form:

$x = - 5 \frac{3}{5}$