Solve left(2+xright)50-(x-2)60+0+40x=320

$$\left( 2+x \right) 50-(x-2)60+0+40x = 320$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2+x by 50.

$$100+50x-\left(x-2\right)\times 60+0+40x=320$$

Use the distributive property to multiply x-2 by 60.

$$100+50x-\left(60x-120\right)+0+40x=320$$

To find the opposite of 60x-120, find the opposite of each term.

$$100+50x-60x-\left(-120\right)+0+40x=320$$

The opposite of -120 is 120.

$$100+50x-60x+120+0+40x=320$$

Combine 50x and -60x to get -10x.

$$100-10x+120+0+40x=320$$

Add 100 and 120 to get 220.

$$220-10x+0+40x=320$$

Add 220 and 0 to get 220.

$$220-10x+40x=320$$

Combine -10x and 40x to get 30x.

$$220+30x=320$$

Subtract 220 from both sides.

$$30x=320-220$$

Subtract 220 from 320 to get 100.

$$30x=100$$

Divide both sides by 30.

$$x=\frac{100}{30}$$

Reduce the fraction \frac{100}{30} to lowest terms by extracting and canceling out 10.

$$x=\frac{10}{3}$$