Solve 2x+1/5-x+1/2=2x-3/10

$$\frac { 2 x + 1 } { 5 } - \frac { x + 1 } { 2 } = \frac { 2 x - 3 } { 10 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$2\left(2x+1\right)-5\left(x+1\right)=2x-3$$

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

$$4x+2-5\left(x+1\right)=2x-3$$

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

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

Combine 4x and -5x to get -x.

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

Subtract 5 from 2 to get -3.

$$-x-3=2x-3$$

Subtract 2x from both sides.

$$-x-3-2x=-3$$

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

$$-3x-3=-3$$

Add 3 to both sides.

$$-3x=-3+3$$

Add -3 and 3 to get 0.

$$-3x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -3 is not equal to 0, x must be equal to 0.

$$x=0$$