Solve 800/x*5/4=1200/x+1

$$\frac { 800 } { x } \times \frac { 5 } { 4 } = \frac { 1200 } { x + 1 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by 4x\left(x+1\right), the least common multiple of x,4,x+1.

$$\left(4x+4\right)\times 800\times \frac{5}{4}=4x\times 1200$$

Multiply 800 and \frac{5}{4} to get 1000.

$$\left(4x+4\right)\times 1000=4x\times 1200$$

Use the distributive property to multiply 4x+4 by 1000.

$$4000x+4000=4x\times 1200$$

Multiply 4 and 1200 to get 4800.

$$4000x+4000=4800x$$

Subtract 4800x from both sides.

$$4000x+4000-4800x=0$$

Combine 4000x and -4800x to get -800x.

$$-800x+4000=0$$

Subtract 4000 from both sides. Anything subtracted from zero gives its negation.

$$-800x=-4000$$

Divide both sides by -800.

$$x=\frac{-4000}{-800}$$

Divide -4000 by -800 to get 5.

$$x=5$$