Solve 3-x/2-x-8/3=1

$$\frac { 3 - x } { 2 } - \frac { x - 8 } { 3 } = 1$$

Solve for x

$$x = \frac{19}{5} = 3\frac{4}{5} = 3.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3-x\right)-2\left(x-8\right)=6$$

Use the distributive property to multiply 3 by 3-x.

$$9-3x-2\left(x-8\right)=6$$

Use the distributive property to multiply -2 by x-8.

$$9-3x-2x+16=6$$

Combine -3x and -2x to get -5x.

$$9-5x+16=6$$

Add 9 and 16 to get 25.

$$25-5x=6$$

Subtract 25 from both sides.

$$-5x=6-25$$

Subtract 25 from 6 to get -19.

$$-5x=-19$$

Divide both sides by -5.

$$x=\frac{-19}{-5}$$

Fraction \frac{-19}{-5} can be simplified to \frac{19}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{19}{5}$$