Solve 6-2x/9-5x-8/3=x/3

$$\frac{ 6-2x }{ 9 } - \frac{ 5x-8 }{ 3 } = \frac{ x }{ 3 }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 9,3.

$$6-2x-3\left(5x-8\right)=3x$$

Use the distributive property to multiply -3 by 5x-8.

$$6-2x-15x+24=3x$$

Combine -2x and -15x to get -17x.

$$6-17x+24=3x$$

Add 6 and 24 to get 30.

$$30-17x=3x$$

Subtract 3x from both sides.

$$30-17x-3x=0$$

Combine -17x and -3x to get -20x.

$$30-20x=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-20x=-30$$

Divide both sides by -20.

$$x=\frac{-30}{-20}$$

Reduce the fraction \frac{-30}{-20} to lowest terms by extracting and canceling out -10.

$$x=\frac{3}{2}$$