Solve 10/x+3+10/3=6

$$\frac{ 10 }{ x+3 } + \frac{ 10 }{ 3 } =6$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+3\right), the least common multiple of x+3,3.

$$3\times 10+3\left(x+3\right)\times \frac{10}{3}=18\left(x+3\right)$$

Multiply 3 and 10 to get 30.

$$30+3\left(x+3\right)\times \frac{10}{3}=18\left(x+3\right)$$

Multiply 3 and \frac{10}{3} to get 10.

$$30+10\left(x+3\right)=18\left(x+3\right)$$

Use the distributive property to multiply 10 by x+3.

$$30+10x+30=18\left(x+3\right)$$

Add 30 and 30 to get 60.

$$60+10x=18\left(x+3\right)$$

Use the distributive property to multiply 18 by x+3.

$$60+10x=18x+54$$

Subtract 18x from both sides.

$$60+10x-18x=54$$

Combine 10x and -18x to get -8x.

$$60-8x=54$$

Subtract 60 from both sides.

$$-8x=54-60$$

Subtract 60 from 54 to get -6.

$$-8x=-6$$

Divide both sides by -8.

$$x=\frac{-6}{-8}$$

Reduce the fraction \frac{-6}{-8} to lowest terms by extracting and canceling out -2.

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