Solve for c 5c-9=8-2c

$5 c - 9 = 8 - 2 c$

Step 1

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

Add $2 c$ to both sides of the equation.

$5 c - 9 + 2 c = 8$

Add $5 c$ and $2 c$ .

$7 c - 9 = 8$

Step 2

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

Add $9$ to both sides of the equation.

$7 c = 8 + 9$

Add $8$ and $9$ .

$7 c = 17$

Step 3

Divide each term in $7 c = 17$ by $7$ and simplify.

Divide each term in $7 c = 17$ by $7$ .

$\frac{7 c}{7} = \frac{17}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 c}{7} = \frac{17}{7}$

Divide $c$ by $1$ .

$c = \frac{17}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$c = \frac{17}{7}$

Decimal Form:

$c = 2.\overline{428571}$

Mixed Number Form:

$c = 2 \frac{3}{7}$