Solve x-5/10+2x/5=-x+1

$$\frac { x - 5 } { 10 } + \frac { 2 x } { 5 } = - x + 1$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$x-5+2\times 2x=-10x+10$$

Multiply 2 and 2 to get 4.

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

Combine x and 4x to get 5x.

$$5x-5=-10x+10$$

Add 10x to both sides.

$$5x-5+10x=10$$

Combine 5x and 10x to get 15x.

$$15x-5=10$$

Add 5 to both sides.

$$15x=10+5$$

Add 10 and 5 to get 15.

$$15x=15$$

Divide both sides by 15.

$$x=\frac{15}{15}$$

Divide 15 by 15 to get 1.

$$x=1$$