Solve 0-25/x=0.547/x+19

$$\frac { 0 - 25 } { x } = \frac { 0.547 } { x + 19 }$$

Solve for x

$$x = -\frac{475000}{25547} = -18\frac{15154}{25547} \approx -18.593181195$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -19,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+19\right), the least common multiple of x,x+19.

$$\left(x+19\right)\left(0-25\right)=x\times 0.547$$

Subtract 25 from 0 to get -25.

$$\left(x+19\right)\left(-25\right)=x\times 0.547$$

Use the distributive property to multiply x+19 by -25.

$$-25x-475=x\times 0.547$$

Subtract x\times 0.547 from both sides.

$$-25x-475-x\times 0.547=0$$

Combine -25x and -x\times 0.547 to get -25.547x.

$$-25.547x-475=0$$

Add 475 to both sides. Anything plus zero gives itself.

$$-25.547x=475$$

Divide both sides by -25.547.

$$x=\frac{475}{-25.547}$$

Expand \frac{475}{-25.547} by multiplying both numerator and the denominator by 1000.

$$x=\frac{475000}{-25547}$$

Fraction \frac{475000}{-25547} can be rewritten as -\frac{475000}{25547} by extracting the negative sign.

$$x=-\frac{475000}{25547}$$