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

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

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

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

$$5\times 2x-20-5x=x-30$$

Multiply 5 and 2 to get 10.

$$10x-20-5x=x-30$$

Combine 10x and -5x to get 5x.

$$5x-20=x-30$$

Subtract x from both sides.

$$5x-20-x=-30$$

Combine 5x and -x to get 4x.

$$4x-20=-30$$

Add 20 to both sides.

$$4x=-30+20$$

Add -30 and 20 to get -10.

$$4x=-10$$

Divide both sides by 4.

$$x=\frac{-10}{4}$$

Reduce the fraction \frac{-10}{4} to lowest terms by extracting and canceling out 2.

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