Solve 12/14+64/x=26

$$\frac { 12 } { 14 } + \frac { 64 } { x } = 26$$

Solve for x

$$x = \frac{28}{11} = 2\frac{6}{11} \approx 2.545454545$$

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 14x, the least common multiple of 14,x.

$$x\times 12+14\times 64=364x$$

Multiply 14 and 64 to get 896.

$$x\times 12+896=364x$$

Subtract 364x from both sides.

$$x\times 12+896-364x=0$$

Combine x\times 12 and -364x to get -352x.

$$-352x+896=0$$

Subtract 896 from both sides. Anything subtracted from zero gives its negation.

$$-352x=-896$$

Divide both sides by -352.

$$x=\frac{-896}{-352}$$

Reduce the fraction \frac{-896}{-352} to lowest terms by extracting and canceling out -32.

$$x=\frac{28}{11}$$