Solve 8x/3+2x-3/2=5x/3

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

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

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

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

Multiply 2 and 8 to get 16.

$$16x+3\left(2x-3\right)=2\times 5x$$

Use the distributive property to multiply 3 by 2x-3.

$$16x+6x-9=2\times 5x$$

Combine 16x and 6x to get 22x.

$$22x-9=2\times 5x$$

Multiply 2 and 5 to get 10.

$$22x-9=10x$$

Subtract 10x from both sides.

$$22x-9-10x=0$$

Combine 22x and -10x to get 12x.

$$12x-9=0$$

Add 9 to both sides. Anything plus zero gives itself.

$$12x=9$$

Divide both sides by 12.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{4}$$