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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

Combine 5x and 10x to get 15x.

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

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

$$15x+5=20-2+2x$$

Subtract 2 from 20 to get 18.

$$15x+5=18+2x$$

Subtract 2x from both sides.

$$15x+5-2x=18$$

Combine 15x and -2x to get 13x.

$$13x+5=18$$

Subtract 5 from both sides.

$$13x=18-5$$

Subtract 5 from 18 to get 13.

$$13x=13$$

Divide both sides by 13.

$$x=\frac{13}{13}$$

Divide 13 by 13 to get 1.

$$x=1$$