Solve 202(3x-5)+3=3(4x+2)-1,m

$$202 ( 3 x - 5 ) + 3 = 3 ( 4 x + 2 ) - 1 , m$$

Solve for x

$$x = \frac{46}{27} = 1\frac{19}{27} \approx 1.703703704$$

Steps for Solving Linear Equation

Use the distributive property to multiply 202 by 3x-5.

$$606x-1010+3=3\left(4x+2\right)-1$$

Add -1010 and 3 to get -1007.

$$606x-1007=3\left(4x+2\right)-1$$

Use the distributive property to multiply 3 by 4x+2.

$$606x-1007=12x+6-1$$

Subtract 1 from 6 to get 5.

$$606x-1007=12x+5$$

Subtract 12x from both sides.

$$606x-1007-12x=5$$

Combine 606x and -12x to get 594x.

$$594x-1007=5$$

Add 1007 to both sides.

$$594x=5+1007$$

Add 5 and 1007 to get 1012.

$$594x=1012$$

Divide both sides by 594.

$$x=\frac{1012}{594}$$

Reduce the fraction \frac{1012}{594} to lowest terms by extracting and canceling out 22.

$$x=\frac{46}{27}$$