Solve 3/x+1+2/7=2

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

Solve for x

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

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 7\left(x+1\right), the least common multiple of x+1,7.

$$7\times 3+7\left(x+1\right)\times \frac{2}{7}=14\left(x+1\right)$$

Multiply 7 and 3 to get 21.

$$21+7\left(x+1\right)\times \frac{2}{7}=14\left(x+1\right)$$

Multiply 7 and \frac{2}{7} to get 2.

$$21+2\left(x+1\right)=14\left(x+1\right)$$

Use the distributive property to multiply 2 by x+1.

$$21+2x+2=14\left(x+1\right)$$

Add 21 and 2 to get 23.

$$23+2x=14\left(x+1\right)$$

Use the distributive property to multiply 14 by x+1.

$$23+2x=14x+14$$

Subtract 14x from both sides.

$$23+2x-14x=14$$

Combine 2x and -14x to get -12x.

$$23-12x=14$$

Subtract 23 from both sides.

$$-12x=14-23$$

Subtract 23 from 14 to get -9.

$$-12x=-9$$

Divide both sides by -12.

$$x=\frac{-9}{-12}$$

Reduce the fraction \frac{-9}{-12} to lowest terms by extracting and canceling out -3.

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