Solve 5-x/15-9/5=-x-1-x/3

$$\frac{ 5-x }{ 15 } - \frac{ 9 }{ 5 } = -x- \frac{ 1-x }{ 3 }$$

Solve for x

$$x = \frac{17}{9} = 1\frac{8}{9} \approx 1.888888889$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 15,5,3.

$$5-x-27=-15x-5\left(1-x\right)$$

Subtract 27 from 5 to get -22.

$$-22-x=-15x-5\left(1-x\right)$$

Use the distributive property to multiply -5 by 1-x.

$$-22-x=-15x-5+5x$$

Combine -15x and 5x to get -10x.

$$-22-x=-10x-5$$

Add 10x to both sides.

$$-22-x+10x=-5$$

Combine -x and 10x to get 9x.

$$-22+9x=-5$$

Add 22 to both sides.

$$9x=-5+22$$

Add -5 and 22 to get 17.

$$9x=17$$

Divide both sides by 9.

$$x=\frac{17}{9}$$