Solve 14/9(x-3)=7/18

$$\frac{ 14 }{ 9 } (x-3)= \frac{ 7 }{ 18 }$$

Solve for x

$$x = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

Multiply both sides by \frac{9}{14}, the reciprocal of \frac{14}{9}.

$$x-3=\frac{7}{18}\times \frac{9}{14}$$

Multiply \frac{7}{18} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$x-3=\frac{7\times 9}{18\times 14}$$

Do the multiplications in the fraction \frac{7\times 9}{18\times 14}.

$$x-3=\frac{63}{252}$$

Reduce the fraction \frac{63}{252} to lowest terms by extracting and canceling out 63.

$$x-3=\frac{1}{4}$$

Add 3 to both sides.

$$x=\frac{1}{4}+3$$

Convert 3 to fraction \frac{12}{4}.

$$x=\frac{1}{4}+\frac{12}{4}$$

Since \frac{1}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$x=\frac{1+12}{4}$$

Add 1 and 12 to get 13.

$$x=\frac{13}{4}$$