Solve 4/9+(x-1/2)=3

$$\frac { 4 } { 9 } + ( x - \frac { 1 } { 2 } ) = 3$$

Solve for x

$$x = \frac{55}{18} = 3\frac{1}{18} \approx 3.055555556$$

Steps for Solving Linear Equation

Least common multiple of 9 and 2 is 18. Convert \frac{4}{9} and \frac{1}{2} to fractions with denominator 18.

$$\frac{8}{18}+x-\frac{9}{18}=3$$

Since \frac{8}{18} and \frac{9}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-9}{18}+x=3$$

Subtract 9 from 8 to get -1.

$$-\frac{1}{18}+x=3$$

Add \frac{1}{18} to both sides.

$$x=3+\frac{1}{18}$$

Convert 3 to fraction \frac{54}{18}.

$$x=\frac{54}{18}+\frac{1}{18}$$

Since \frac{54}{18} and \frac{1}{18} have the same denominator, add them by adding their numerators.

$$x=\frac{54+1}{18}$$

Add 54 and 1 to get 55.

$$x=\frac{55}{18}$$