Solve 2/x-8/7=1

$$\frac { 2 } { x } - \frac { 8 } { 7 } = 1$$

Solve for x

$$x=\frac{14}{15}\approx 0.933333333$$

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 7x, the least common multiple of x,7.

$$7\times 2+7x\left(-\frac{8}{7}\right)=7x$$

Multiply 7 and 2 to get 14.

$$14+7x\left(-\frac{8}{7}\right)=7x$$

Cancel out 7 and 7.

$$14-8x=7x$$

Subtract 7x from both sides.

$$14-8x-7x=0$$

Combine -8x and -7x to get -15x.

$$14-15x=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$-15x=-14$$

Divide both sides by -15.

$$x=\frac{-14}{-15}$$

Fraction \frac{-14}{-15} can be simplified to \frac{14}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{14}{15}$$