Evaluate 3/4x+5=-9

$\frac{3}{4} x + 5 = - 9$

Step 1

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} + 5 = - 9$

Step 2

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

Subtract $5$ from both sides of the equation.

$\frac{3 x}{4} = - 9 - 5$

Subtract $5$ from $- 9$ .

$\frac{3 x}{4} = - 14$

Step 3

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot - 14$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot - 14$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot - 14$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot - 14$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot - 14$

Rewrite the expression.

$x = \frac{4}{3} \cdot - 14$

Simplify the right side.

Simplify $\frac{4}{3} \cdot - 14$ .

Multiply $\frac{4}{3} \cdot - 14$ .

Combine $\frac{4}{3}$ and $- 14$ .

$x = \frac{4 \cdot - 14}{3}$

Multiply $4$ by $- 14$ .

$x = \frac{- 56}{3}$

Move the negative in front of the fraction.

$x = - \frac{56}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{56}{3}$

Decimal Form:

$x = - 18.\overline{6}$

Mixed Number Form:

$x = - 18 \frac{2}{3}$

Evaluate 3/4x+5=-9

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