Solve 30x+80(06-12-x)=(12-x)*90

$$30x+80(06-12-x)=(12-x) \times 90$$

Solve for x

$$x=51$$

Steps for Solving Linear Equation

Multiply 0 and 6 to get 0.

$$30x+80\left(0-12-x\right)=\left(12-x\right)\times 90$$

Subtract 12 from 0 to get -12.

$$30x+80\left(-12-x\right)=\left(12-x\right)\times 90$$

Use the distributive property to multiply 80 by -12-x.

$$30x-960-80x=\left(12-x\right)\times 90$$

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

$$-50x-960=\left(12-x\right)\times 90$$

Use the distributive property to multiply 12-x by 90.

$$-50x-960=1080-90x$$

Add 90x to both sides.

$$-50x-960+90x=1080$$

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

$$40x-960=1080$$

Add 960 to both sides.

$$40x=1080+960$$

Add 1080 and 960 to get 2040.

$$40x=2040$$

Divide both sides by 40.

$$x=\frac{2040}{40}$$

Divide 2040 by 40 to get 51.

$$x=51$$