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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by 3x-1.

$$6x-2-\left(2x-3\right)=5x$$

To find the opposite of 2x-3, find the opposite of each term.

$$6x-2-2x-\left(-3\right)=5x$$

The opposite of -3 is 3.

$$6x-2-2x+3=5x$$

Combine 6x and -2x to get 4x.

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

Add -2 and 3 to get 1.

$$4x+1=5x$$

Subtract 5x from both sides.

$$4x+1-5x=0$$

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

$$-x+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$