Solve 3200/x=22400/x+40

$$\frac{ 3200 }{ x } = 2 \frac{ 2400 }{ x+40 }$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -40,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+40\right), the least common multiple of x,x+40.

$$\left(x+40\right)\times 3200=2x\times 2400$$

Use the distributive property to multiply x+40 by 3200.

$$3200x+128000=2x\times 2400$$

Multiply 2 and 2400 to get 4800.

$$3200x+128000=4800x$$

Subtract 4800x from both sides.

$$3200x+128000-4800x=0$$

Combine 3200x and -4800x to get -1600x.

$$-1600x+128000=0$$

Subtract 128000 from both sides. Anything subtracted from zero gives its negation.

$$-1600x=-128000$$

Divide both sides by -1600.

$$x=\frac{-128000}{-1600}$$

Divide -128000 by -1600 to get 80.

$$x=80$$