Solve 5/x+5=2-x/x

$$\frac { 5 } { x } + 5 = 2 - \frac { x } { x }$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$5+x\times 5=x\times 2-x$$

Subtract x\times 2 from both sides.

$$5+x\times 5-x\times 2=-x$$

Combine x\times 5 and -x\times 2 to get 3x.

$$5+3x=-x$$

Add x to both sides.

$$5+3x+x=0$$

Combine 3x and x to get 4x.

$$5+4x=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$4x=-5$$

Divide both sides by 4.

$$x=\frac{-5}{4}$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$x=-\frac{5}{4}$$