Solve x+3/x=6/4

$$\frac{ x+3 }{ x } = \frac{ 6 }{ 4 }$$

Solve for x

$$x=6$$

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 4x, the least common multiple of x,4.

$$4\left(x+3\right)=x\times 6$$

Use the distributive property to multiply 4 by x+3.

$$4x+12=x\times 6$$

Subtract x\times 6 from both sides.

$$4x+12-x\times 6=0$$

Combine 4x and -x\times 6 to get -2x.

$$-2x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-12$$

Divide both sides by -2.

$$x=\frac{-12}{-2}$$

Divide -12 by -2 to get 6.

$$x=6$$