Solve 2/5+7/10=18/x+36/x

$$\frac { 2 } { 5 } + \frac { 7 } { 10 } = 18 / x + 36 / x$$

Solve for x

$$x = \frac{540}{11} = 49\frac{1}{11} \approx 49.090909091$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 5,10,x.

$$10x\times \frac{2}{5}+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Express 10\times \frac{2}{5} as a single fraction.

$$\frac{10\times 2}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Multiply 10 and 2 to get 20.

$$\frac{20}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Divide 20 by 5 to get 4.

$$4x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Cancel out 10 and 10.

$$4x+7x=10\times 18+10\times 36$$

Combine 4x and 7x to get 11x.

$$11x=10\times 18+10\times 36$$

Multiply 10 and 18 to get 180. Multiply 10 and 36 to get 360.

$$11x=180+360$$

Add 180 and 360 to get 540.

$$11x=540$$

Divide both sides by 11.

$$x=\frac{540}{11}$$