Solve for c 7c+12=-4c+78

$7 c + 12 = - 4 c + 78$

Step 1

Move all terms containing $c$ to the left side of the equation.

Add $4 c$ to both sides of the equation.

$7 c + 12 + 4 c = 78$

Add $7 c$ and $4 c$ .

$11 c + 12 = 78$

Step 2

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

Subtract $12$ from both sides of the equation.

$11 c = 78 - 12$

Subtract $12$ from $78$ .

$11 c = 66$

Step 3

Divide each term in $11 c = 66$ by $11$ and simplify.

Divide each term in $11 c = 66$ by $11$ .

$\frac{11 c}{11} = \frac{66}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 c}{11} = \frac{66}{11}$

Divide $c$ by $1$ .

$c = \frac{66}{11}$

Simplify the right side.

Divide $66$ by $11$ .

$c = 6$