Solve for c 3+11x=cx+2(4x-1)+5

$3 + 11 x = c x + 2 (4 x - 1) + 5$

Rewrite the equation as $c x + 2 (4 x - 1) + 5 = 3 + 11 x$ .

$c x + 2 (4 x - 1) + 5 = 3 + 11 x$

Simplify $c x + 2 (4 x - 1) + 5$ .

Simplify each term.

Apply the distributive property.

$c x + 2 (4 x) + 2 \cdot - 1 + 5 = 3 + 11 x$

Multiply $4$ by $2$ .

$c x + 8 x + 2 \cdot - 1 + 5 = 3 + 11 x$

Multiply $2$ by $- 1$ .

$c x + 8 x - 2 + 5 = 3 + 11 x$

Add $- 2$ and $5$ .

$c x + 8 x + 3 = 3 + 11 x$

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

Subtract $8 x$ from both sides of the equation.

$c x + 3 = 3 + 11 x - 8 x$

Subtract $3$ from both sides of the equation.

$c x = 3 + 11 x - 8 x - 3$

Combine the opposite terms in $3 + 11 x - 8 x - 3$ .

Subtract $3$ from $3$ .

$c x = 11 x - 8 x + 0$

Add $11 x - 8 x$ and $0$ .

$c x = 11 x - 8 x$

Subtract $8 x$ from $11 x$ .

$c x = 3 x$

Divide each term in $c x = 3 x$ by $x$ and simplify.

Divide each term in $c x = 3 x$ by $x$ .

$\frac{c x}{x} = \frac{3 x}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{c x}{x} = \frac{3 x}{x}$

Divide $c$ by $1$ .

$c = \frac{3 x}{x}$

Simplify the right side.

Cancel the common factor of $x$ .

Cancel the common factor.

$c = \frac{3 x}{x}$

Divide $3$ by $1$ .

$c = 3$