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

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

Solve for x

$$x=\frac{17}{23}\approx 0.739130435$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$20x-5\left(x-1\right)+10x+20=2\left(x+1\right)+40$$

Use the distributive property to multiply -5 by x-1.

$$20x-5x+5+10x+20=2\left(x+1\right)+40$$

Combine 20x and -5x to get 15x.

$$15x+5+10x+20=2\left(x+1\right)+40$$

Combine 15x and 10x to get 25x.

$$25x+5+20=2\left(x+1\right)+40$$

Add 5 and 20 to get 25.

$$25x+25=2\left(x+1\right)+40$$

Use the distributive property to multiply 2 by x+1.

$$25x+25=2x+2+40$$

Add 2 and 40 to get 42.

$$25x+25=2x+42$$

Subtract 2x from both sides.

$$25x+25-2x=42$$

Combine 25x and -2x to get 23x.

$$23x+25=42$$

Subtract 25 from both sides.

$$23x=42-25$$

Subtract 25 from 42 to get 17.

$$23x=17$$

Divide both sides by 23.

$$x=\frac{17}{23}$$