Solve (5)x-x-1/2=2-x+2/5

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

Solve for x

$$x=\frac{11}{47}\approx 0.234042553$$

Steps for Solving Linear Equation

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

$$50x-5\left(x-1\right)=20-2\left(x+2\right)$$

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

$$50x-5x+5=20-2\left(x+2\right)$$

Combine 50x and -5x to get 45x.

$$45x+5=20-2\left(x+2\right)$$

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

$$45x+5=20-2x-4$$

Subtract 4 from 20 to get 16.

$$45x+5=16-2x$$

Add 2x to both sides.

$$45x+5+2x=16$$

Combine 45x and 2x to get 47x.

$$47x+5=16$$

Subtract 5 from both sides.

$$47x=16-5$$

Subtract 5 from 16 to get 11.

$$47x=11$$

Divide both sides by 47.

$$x=\frac{11}{47}$$