Solve 3/2*2400/7=3100/x+5

$$\frac { 3 } { 2 } \cdot \frac { 2400 } { 7 } = \frac { 3100 } { x + 5 }$$

Solve for x

$$x = \frac{37}{36} = 1\frac{1}{36} \approx 1.027777778$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 14\left(x+5\right), the least common multiple of 2,7,x+5.

$$\frac{3}{2}\times \frac{2400}{7}\times 14\left(x+5\right)=14\times 3100$$

Multiply \frac{3}{2} and \frac{2400}{7} to get \frac{3600}{7}.

$$\frac{3600}{7}\times 14\left(x+5\right)=14\times 3100$$

Multiply \frac{3600}{7} and 14 to get 7200.

$$7200\left(x+5\right)=14\times 3100$$

Use the distributive property to multiply 7200 by x+5.

$$7200x+36000=14\times 3100$$

Multiply 14 and 3100 to get 43400.

$$7200x+36000=43400$$

Subtract 36000 from both sides.

$$7200x=43400-36000$$

Subtract 36000 from 43400 to get 7400.

$$7200x=7400$$

Divide both sides by 7200.

$$x=\frac{7400}{7200}$$

Reduce the fraction \frac{7400}{7200} to lowest terms by extracting and canceling out 200.

$$x=\frac{37}{36}$$