Solve for x (17-4x)/12=5

$\frac{17 - 4 x}{12} = 5$

Step 1

Multiply both sides by $12$ .

$\frac{17 - 4 x}{12} \cdot 12 = 5 \cdot 12$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{17 - 4 x}{12} \cdot 12$ .

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{17 - 4 x}{12} \cdot 12 = 5 \cdot 12$

Rewrite the expression.

$17 - 4 x = 5 \cdot 12$

Reorder $17$ and $- 4 x$ .

$- 4 x + 17 = 5 \cdot 12$

Simplify the right side.

Multiply $5$ by $12$ .

$- 4 x + 17 = 60$

Step 3

Solve for $x$ .

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

Subtract $17$ from both sides of the equation.

$- 4 x = 60 - 17$

Subtract $17$ from $60$ .

$- 4 x = 43$

Divide each term in $- 4 x = 43$ by $- 4$ and simplify.

Divide each term in $- 4 x = 43$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{43}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{43}{- 4}$

Divide $x$ by $1$ .

$x = \frac{43}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{43}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{43}{4}$

Decimal Form:

$x = - 10.75$

Mixed Number Form:

$x = - 10 \frac{3}{4}$