Solve 1-x+1/9(x+18)+1/3(2x+3)=3

$$1 - x + 1 / 9 ( x + 18 ) + 1 / 3 ( 2 x + 3 ) = 3$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{9} by x+18.

$$1-x+\frac{1}{9}x+\frac{1}{9}\times 18+\frac{1}{3}\left(2x+3\right)=3$$

Multiply \frac{1}{9} and 18 to get \frac{18}{9}.

$$1-x+\frac{1}{9}x+\frac{18}{9}+\frac{1}{3}\left(2x+3\right)=3$$

Divide 18 by 9 to get 2.

$$1-x+\frac{1}{9}x+2+\frac{1}{3}\left(2x+3\right)=3$$

Combine -x and \frac{1}{9}x to get -\frac{8}{9}x.

$$1-\frac{8}{9}x+2+\frac{1}{3}\left(2x+3\right)=3$$

Add 1 and 2 to get 3.

$$3-\frac{8}{9}x+\frac{1}{3}\left(2x+3\right)=3$$

Use the distributive property to multiply \frac{1}{3} by 2x+3.

$$3-\frac{8}{9}x+\frac{1}{3}\times 2x+\frac{1}{3}\times 3=3$$

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$3-\frac{8}{9}x+\frac{2}{3}x+\frac{1}{3}\times 3=3$$

Cancel out 3 and 3.

$$3-\frac{8}{9}x+\frac{2}{3}x+1=3$$

Combine -\frac{8}{9}x and \frac{2}{3}x to get -\frac{2}{9}x.

$$3-\frac{2}{9}x+1=3$$

Add 3 and 1 to get 4.

$$4-\frac{2}{9}x=3$$

Subtract 4 from both sides.

$$-\frac{2}{9}x=3-4$$

Subtract 4 from 3 to get -1.

$$-\frac{2}{9}x=-1$$

Multiply both sides by -\frac{9}{2}, the reciprocal of -\frac{2}{9}.

$$x=-\left(-\frac{9}{2}\right)$$

Multiply -1 and -\frac{9}{2} to get \frac{9}{2}.

$$x=\frac{9}{2}$$