Solve 177.20(x+2)+8(x-2)=3

$$177.20 ( x + 2 ) + 8 ( x - 2 ) = 3$$

Solve for x

$$x = -\frac{1677}{926} = -1\frac{751}{926} \approx -1.811015119$$

Steps for Solving Linear Equation

Use the distributive property to multiply 177.2 by x+2.

$$177.2x+354.4+8\left(x-2\right)=3$$

Use the distributive property to multiply 8 by x-2.

$$177.2x+354.4+8x-16=3$$

Combine 177.2x and 8x to get 185.2x.

$$185.2x+354.4-16=3$$

Subtract 16 from 354.4 to get 338.4.

$$185.2x+338.4=3$$

Subtract 338.4 from both sides.

$$185.2x=3-338.4$$

Subtract 338.4 from 3 to get -335.4.

$$185.2x=-335.4$$

Divide both sides by 185.2.

$$x=\frac{-335.4}{185.2}$$

Expand \frac{-335.4}{185.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-3354}{1852}$$

Reduce the fraction \frac{-3354}{1852} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1677}{926}$$