312/x+27=150/x-এর সমাধান করুন

$$\frac { 312 } { x + 27 } = \frac { 150 } { x }$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -27,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+27\right), the least common multiple of x+27,x.

$$x\times 312=\left(x+27\right)\times 150$$

Use the distributive property to multiply x+27 by 150.

$$x\times 312=150x+4050$$

Subtract 150x from both sides.

$$x\times 312-150x=4050$$

Combine x\times 312 and -150x to get 162x.

$$162x=4050$$

Divide both sides by 162.

$$x=\frac{4050}{162}$$

Divide 4050 by 162 to get 25.

$$x=25$$