Solve 3/5x+9/10x=13/8x-1/8

$$\frac { 3 } { 5 x } + \frac { 9 } { 10 x } = \frac { 13 } { 8 x } - \frac { 1 } { 8 }$$

Solve for x

$$x=1$$

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 40x, the least common multiple of 5x,10x,8x,8.

$$8\times 3+4\times 9=5\times 13+40x\left(-\frac{1}{8}\right)$$

Do the multiplications.

$$24+36=5\times 13+40x\left(-\frac{1}{8}\right)$$

Add 24 and 36 to get 60.

$$60=5\times 13+40x\left(-\frac{1}{8}\right)$$

Multiply 5 and 13 to get 65.

$$60=65+40x\left(-\frac{1}{8}\right)$$

Multiply 40 and -\frac{1}{8} to get -5.

$$60=65-5x$$

Swap sides so that all variable terms are on the left hand side.

$$65-5x=60$$

Subtract 65 from both sides.

$$-5x=60-65$$

Subtract 65 from 60 to get -5.

$$-5x=-5$$

Divide both sides by -5.

$$x=\frac{-5}{-5}$$

Divide -5 by -5 to get 1.

$$x=1$$