Solve 4/x=-8/2x+2

$$\frac { 4 } { x } = \frac { - 8 } { 2 x + 2 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

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 2x\left(x+1\right), the least common multiple of x,2x+2.

$$\left(2x+2\right)\times 4=x\left(-8\right)$$

Use the distributive property to multiply 2x+2 by 4.

$$8x+8=x\left(-8\right)$$

Subtract x\left(-8\right) from both sides.

$$8x+8-x\left(-8\right)=0$$

Combine 8x and -x\left(-8\right) to get 16x.

$$16x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$16x=-8$$

Divide both sides by 16.

$$x=\frac{-8}{16}$$

Reduce the fraction \frac{-8}{16} to lowest terms by extracting and canceling out 8.

$$x=-\frac{1}{2}$$