Solve 30x+80(0.6-1.2-x)=(1.2-x)*90

$$30x+80(0.6-1.2-x)=(1.2-x) \times 90$$

Solve for x

$$x=3.9$$

Steps for Solving Linear Equation

Subtract 1.2 from 0.6 to get -0.6.

$$30x+80\left(-0.6-x\right)=\left(1.2-x\right)\times 90$$

Use the distributive property to multiply 80 by -0.6-x.

$$30x-48-80x=\left(1.2-x\right)\times 90$$

Combine 30x and -80x to get -50x.

$$-50x-48=\left(1.2-x\right)\times 90$$

Use the distributive property to multiply 1.2-x by 90.

$$-50x-48=108-90x$$

Add 90x to both sides.

$$-50x-48+90x=108$$

Combine -50x and 90x to get 40x.

$$40x-48=108$$

Add 48 to both sides.

$$40x=108+48$$

Add 108 and 48 to get 156.

$$40x=156$$

Divide both sides by 40.

$$x=\frac{156}{40}$$

Reduce the fraction \frac{156}{40} to lowest terms by extracting and canceling out 4.

$$x=\frac{39}{10}$$