Solve 6-5/4=4+3/x

$$6 - \frac { 5 } { 4 } = 4 + \frac { 3 } { x }$$

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

$$4x\times 6+4x\left(-\frac{5}{4}\right)=4x\times 4+4\times 3$$

Multiply 4 and 6 to get 24.

$$24x+4x\left(-\frac{5}{4}\right)=4x\times 4+4\times 3$$

Cancel out 4 and 4.

$$24x-5x=4x\times 4+4\times 3$$

Combine 24x and -5x to get 19x.

$$19x=4x\times 4+4\times 3$$

Multiply 4 and 4 to get 16.

$$19x=16x+4\times 3$$

Multiply 4 and 3 to get 12.

$$19x=16x+12$$

Subtract 16x from both sides.

$$19x-16x=12$$

Combine 19x and -16x to get 3x.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$