Solve 77-50/50-28=3-x/x+1

$$\frac { 77 - 50 } { 50 - 28 } = \frac { 3 - x } { x + 1 }$$

Solve for x

$$x=\frac{39}{49}\approx 0.795918367$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$\left(\frac{1}{22}x+\frac{1}{22}\right)\left(77-50\right)=3-x$$

Subtract 50 from 77 to get 27.

$$\left(\frac{1}{22}x+\frac{1}{22}\right)\times 27=3-x$$

Use the distributive property to multiply \frac{1}{22}x+\frac{1}{22} by 27.

$$\frac{27}{22}x+\frac{27}{22}=3-x$$

Add x to both sides.

$$\frac{27}{22}x+\frac{27}{22}+x=3$$

Combine \frac{27}{22}x and x to get \frac{49}{22}x.

$$\frac{49}{22}x+\frac{27}{22}=3$$

Subtract \frac{27}{22} from both sides.

$$\frac{49}{22}x=3-\frac{27}{22}$$

Subtract \frac{27}{22} from 3 to get \frac{39}{22}.

$$\frac{49}{22}x=\frac{39}{22}$$

Multiply both sides by \frac{22}{49}, the reciprocal of \frac{49}{22}.

$$x=\frac{39}{22}\times \frac{22}{49}$$

Multiply \frac{39}{22} and \frac{22}{49} to get \frac{39}{49}.

$$x=\frac{39}{49}$$