Solve 7x+6/4x=5/4-6/x

$$\frac { 7 x + 6 } { 4 x } = \frac { 5 } { 4 } - \frac { 6 } { x }$$

Solve for x

$$x=-15$$

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 4x,4,x.

$$7x+6=4x\times \frac{5}{4}-4\times 6$$

Multiply 4 and \frac{5}{4} to get 5.

$$7x+6=5x-4\times 6$$

Multiply -4 and 6 to get -24.

$$7x+6=5x-24$$

Subtract 5x from both sides.

$$7x+6-5x=-24$$

Combine 7x and -5x to get 2x.

$$2x+6=-24$$

Subtract 6 from both sides.

$$2x=-24-6$$

Subtract 6 from -24 to get -30.

$$2x=-30$$

Divide both sides by 2.

$$x=\frac{-30}{2}$$

Divide -30 by 2 to get -15.

$$x=-15$$