Solve 20000(0.1-a)=2000a/3+1200

$$20000 ( 0.1 - a ) = \frac { 2000 a } { 3 } + 1200$$

Solve for a

$$a=\frac{6}{155}\approx 0.038709677$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$60000\left(0.1-a\right)=2000a+3600$$

Use the distributive property to multiply 60000 by 0.1-a.

$$6000-60000a=2000a+3600$$

Subtract 2000a from both sides.

$$6000-60000a-2000a=3600$$

Combine -60000a and -2000a to get -62000a.

$$6000-62000a=3600$$

Subtract 6000 from both sides.

$$-62000a=3600-6000$$

Subtract 6000 from 3600 to get -2400.

$$-62000a=-2400$$

Divide both sides by -62000.

$$a=\frac{-2400}{-62000}$$

Reduce the fraction \frac{-2400}{-62000} to lowest terms by extracting and canceling out -400.

$$a=\frac{6}{155}$$