Solve 5x/x-3+2=1

$$\frac { 5 x } { x - 3 } + 2 = 1$$

Solve for x

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

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.

$$5x+\left(x-3\right)\times 2=x-3$$

Use the distributive property to multiply x-3 by 2.

$$5x+2x-6=x-3$$

Combine 5x and 2x to get 7x.

$$7x-6=x-3$$

Subtract x from both sides.

$$7x-6-x=-3$$

Combine 7x and -x to get 6x.

$$6x-6=-3$$

Add 6 to both sides.

$$6x=-3+6$$

Add -3 and 6 to get 3.

$$6x=3$$

Divide both sides by 6.

$$x=\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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