Solve 3/4(5-2a/3)4=1/2(8-a/3)

$$\frac { 3 } { 4 } ( \frac { 5 - 2 a } { 3 } ) 4 = \frac { 1 } { 2 } ( \frac { 8 - a } { 3 } )$$

Solve for a

$$a=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,2.

$$3\left(5-2a\right)\times 4=2\left(8-a\right)$$

Multiply 3 and 4 to get 12.

$$12\left(5-2a\right)=2\left(8-a\right)$$

Use the distributive property to multiply 12 by 5-2a.

$$60-24a=2\left(8-a\right)$$

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

$$60-24a=16-2a$$

Add 2a to both sides.

$$60-24a+2a=16$$

Combine -24a and 2a to get -22a.

$$60-22a=16$$

Subtract 60 from both sides.

$$-22a=16-60$$

Subtract 60 from 16 to get -44.

$$-22a=-44$$

Divide both sides by -22.

$$a=\frac{-44}{-22}$$

Divide -44 by -22 to get 2.

$$a=2$$