Solve 200(10-a)=1200+200a/3

$$200 ( 10 - a ) = 1200 + \frac { 200 a } { 3 }$$

Solve for a

$$a=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$600\left(10-a\right)=3600+200a$$

Use the distributive property to multiply 600 by 10-a.

$$6000-600a=3600+200a$$

Subtract 200a from both sides.

$$6000-600a-200a=3600$$

Combine -600a and -200a to get -800a.

$$6000-800a=3600$$

Subtract 6000 from both sides.

$$-800a=3600-6000$$

Subtract 6000 from 3600 to get -2400.

$$-800a=-2400$$

Divide both sides by -800.

$$a=\frac{-2400}{-800}$$

Divide -2400 by -800 to get 3.

$$a=3$$