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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

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

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

$$2x+4-5\left(x-1\right)=10-2x$$

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

$$2x+4-5x+5=10-2x$$

Combine 2x and -5x to get -3x.

$$-3x+4+5=10-2x$$

Add 4 and 5 to get 9.

$$-3x+9=10-2x$$

Add 2x to both sides.

$$-3x+9+2x=10$$

Combine -3x and 2x to get -x.

$$-x+9=10$$

Subtract 9 from both sides.

$$-x=10-9$$

Subtract 9 from 10 to get 1.

$$-x=1$$

Multiply both sides by -1.

$$x=-1$$