Solve for c 23+2/3c=45

$23 + \frac{2}{3} c = 45$

Step 1

Combine $\frac{2}{3}$ and $c$ .

$23 + \frac{2 c}{3} = 45$

Step 2

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

Subtract $23$ from both sides of the equation.

$\frac{2 c}{3} = 45 - 23$

Subtract $23$ from $45$ .

$\frac{2 c}{3} = 22$

Step 3

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} \cdot \frac{2 c}{3} = \frac{3}{2} \cdot 22$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{2} \cdot \frac{2 c}{3}$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 c}{3} = \frac{3}{2} \cdot 22$

Rewrite the expression.

$\frac{1}{2} (2 c) = \frac{3}{2} \cdot 22$

Cancel the common factor of $2$ .

Factor $2$ out of $2 c$ .

$\frac{1}{2} (2 (c)) = \frac{3}{2} \cdot 22$

Cancel the common factor.

$\frac{1}{2} (2 c) = \frac{3}{2} \cdot 22$

Rewrite the expression.

$c = \frac{3}{2} \cdot 22$

Simplify the right side.

Simplify $\frac{3}{2} \cdot 22$ .

Cancel the common factor of $2$ .

Factor $2$ out of $22$ .

$c = \frac{3}{2} \cdot (2 (11))$

Cancel the common factor.

$c = \frac{3}{2} \cdot (2 \cdot 11)$

Rewrite the expression.

$c = 3 \cdot 11$

Multiply $3$ by $11$ .

$c = 33$