Solve 3/x-7=-1/x-6

$$\frac { 3 } { x } - 7 = \frac { - 1 } { x } - 6$$

Solve for x

$$x=4$$

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.

$$3+x\left(-7\right)=-1+x\left(-6\right)$$

Subtract x\left(-6\right) from both sides.

$$3+x\left(-7\right)-x\left(-6\right)=-1$$

Combine x\left(-7\right) and -x\left(-6\right) to get -x.

$$3-x=-1$$

Subtract 3 from both sides.

$$-x=-1-3$$

Subtract 3 from -1 to get -4.

$$-x=-4$$

Multiply both sides by -1.

$$x=4$$