Solve for a -7=(5+a)/4

$- 7 = \frac{5 + a}{4}$

Step 1

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

$\frac{5 + a}{4} = - 7$

Step 2

Multiply both sides of the equation by $4$ .

$4 \frac{5 + a}{4} = 4 \cdot - 7$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{5 + a}{4} = 4 \cdot - 7$

Rewrite the expression.

$5 + a = 4 \cdot - 7$

Simplify the right side.

Multiply $4$ by $- 7$ .

$5 + a = - 28$

Step 4

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

Subtract $5$ from both sides of the equation.

$a = - 28 - 5$

Subtract $5$ from $- 28$ .

$a = - 33$