Solve 1/7+2x/5=1/5-2x/4

$$\frac { 1 } { 7 } + \frac { 2 x } { 5 } = \frac { 1 } { 5 } - \frac { 2 x } { 4 }$$

Solve for x

$$x=\frac{4}{63}\approx 0.063492063$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 140, the least common multiple of 7,5,4.

$$20+28\times 2x=28-35\times 2x$$

Multiply 28 and 2 to get 56.

$$20+56x=28-35\times 2x$$

Multiply -35 and 2 to get -70.

$$20+56x=28-70x$$

Add 70x to both sides.

$$20+56x+70x=28$$

Combine 56x and 70x to get 126x.

$$20+126x=28$$

Subtract 20 from both sides.

$$126x=28-20$$

Subtract 20 from 28 to get 8.

$$126x=8$$

Divide both sides by 126.

$$x=\frac{8}{126}$$

Reduce the fraction \frac{8}{126} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{63}$$