Solve 21/4+3/9=x/7

$$2 \frac { 1 } { 4 } + \frac { 3 } { 9 } = \frac { x } { 7 }$$

Solve for x

$$x = \frac{217}{12} = 18\frac{1}{12} \approx 18.083333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 252, the least common multiple of 4,9,7.

$$63\left(2\times 4+1\right)+28\times 3=36x$$

Multiply 2 and 4 to get 8.

$$63\left(8+1\right)+28\times 3=36x$$

Add 8 and 1 to get 9.

$$63\times 9+28\times 3=36x$$

Multiply 63 and 9 to get 567.

$$567+28\times 3=36x$$

Multiply 28 and 3 to get 84.

$$567+84=36x$$

Add 567 and 84 to get 651.

$$651=36x$$

Swap sides so that all variable terms are on the left hand side.

$$36x=651$$

Divide both sides by 36.

$$x=\frac{651}{36}$$

Reduce the fraction \frac{651}{36} to lowest terms by extracting and canceling out 3.

$$x=\frac{217}{12}$$