Solve 5/8x-1/2=7/6x

$$\frac { 5 } { 8 x } - \frac { 1 } { 2 } = \frac { 7 } { 6 x }$$

Solve for x

$$x = -\frac{13}{12} = -1\frac{1}{12} \approx -1.083333333$$

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 24x, the least common multiple of 8x,2,6x.

$$3\times 5+24x\left(-\frac{1}{2}\right)=4\times 7$$

Multiply 3 and 5 to get 15.

$$15+24x\left(-\frac{1}{2}\right)=4\times 7$$

Multiply 24 and -\frac{1}{2} to get -12.

$$15-12x=4\times 7$$

Multiply 4 and 7 to get 28.

$$15-12x=28$$

Subtract 15 from both sides.

$$-12x=28-15$$

Subtract 15 from 28 to get 13.

$$-12x=13$$

Divide both sides by -12.

$$x=\frac{13}{-12}$$

Fraction \frac{13}{-12} can be rewritten as -\frac{13}{12} by extracting the negative sign.

$$x=-\frac{13}{12}$$