Solve 4/x-6=-11/5

$$\frac { 4 } { x } - 6 = - \frac { 11 } { 5 }$$

Solve for x

$$x = \frac{20}{19} = 1\frac{1}{19} \approx 1.052631579$$

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 5x, the least common multiple of x,5.

$$5\times 4+5x\left(-6\right)=-11x$$

Multiply 5 and 4 to get 20.

$$20+5x\left(-6\right)=-11x$$

Multiply 5 and -6 to get -30.

$$20-30x=-11x$$

Add 11x to both sides.

$$20-30x+11x=0$$

Combine -30x and 11x to get -19x.

$$20-19x=0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-19x=-20$$

Divide both sides by -19.

$$x=\frac{-20}{-19}$$

Fraction \frac{-20}{-19} can be simplified to \frac{20}{19} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{20}{19}$$