Solve 2/4+2x-1/2=3/5x+3-x/20

$$\frac { 2 } { 4 } + \frac { 2 x - 1 } { 2 } = \frac { 3 } { 5 } x + 3 - \frac { x } { 20 }$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,2,5,20.

$$5\times 2+10\left(2x-1\right)=12x+60-x$$

Multiply 5 and 2 to get 10.

$$10+10\left(2x-1\right)=12x+60-x$$

Use the distributive property to multiply 10 by 2x-1.

$$10+20x-10=12x+60-x$$

Subtract 10 from 10 to get 0.

$$20x=12x+60-x$$

Subtract 12x from both sides.

$$20x-12x=60-x$$

Combine 20x and -12x to get 8x.

$$8x=60-x$$

Add x to both sides.

$$8x+x=60$$

Combine 8x and x to get 9x.

$$9x=60$$

Divide both sides by 9.

$$x=\frac{60}{9}$$

Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{20}{3}$$