Solve for x 4x-5d=-2x-4c

$4 x - 5 d = - 2 x - 4 c$

Step 1

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

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

$4 x - 5 d + 2 x = - 4 c$

Add $4 x$ and $2 x$ .

$- 5 d + 6 x = - 4 c$

Step 2

Add $5 d$ to both sides of the equation.

$6 x = - 4 c + 5 d$

Step 3

Divide each term in $6 x = - 4 c + 5 d$ by $6$ and simplify.

Divide each term in $6 x = - 4 c + 5 d$ by $6$ .

$\frac{6 x}{6} = \frac{- 4 c}{6} + \frac{5 d}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 4 c}{6} + \frac{5 d}{6}$

Divide $x$ by $1$ .

$x = \frac{- 4 c}{6} + \frac{5 d}{6}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 4$ and $6$ .

Factor $2$ out of $- 4 c$ .

$x = \frac{2 (- 2 c)}{6} + \frac{5 d}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$x = \frac{2 (- 2 c)}{2 (3)} + \frac{5 d}{6}$

Cancel the common factor.

$x = \frac{2 (- 2 c)}{2 \cdot 3} + \frac{5 d}{6}$

Rewrite the expression.

$x = \frac{- 2 c}{3} + \frac{5 d}{6}$

Move the negative in front of the fraction.

$x = - \frac{2 c}{3} + \frac{5 d}{6}$