Solve 200(x-30)+160*6=2880

$$200 ( x - 30 ) + 160 \times 6 = 2880$$

Solve for x

$$x = \frac{198}{5} = 39\frac{3}{5} = 39.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 200 by x-30.

$$200x-6000+160\times 6=2880$$

Multiply 160 and 6 to get 960.

$$200x-6000+960=2880$$

Add -6000 and 960 to get -5040.

$$200x-5040=2880$$

Add 5040 to both sides.

$$200x=2880+5040$$

Add 2880 and 5040 to get 7920.

$$200x=7920$$

Divide both sides by 200.

$$x=\frac{7920}{200}$$

Reduce the fraction \frac{7920}{200} to lowest terms by extracting and canceling out 40.

$$x=\frac{198}{5}$$