Solve (x-3)/2-(2+x)/4=2-x/1

$$\frac { ( x - 3 ) } { 2 } - \frac { ( 2 + x ) } { 4 } = \frac { 2 - x } { 1 }$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

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

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

$$2x-6-\left(2+x\right)=4\left(2-x\right)$$

To find the opposite of 2+x, find the opposite of each term.

$$2x-6-2-x=4\left(2-x\right)$$

Subtract 2 from -6 to get -8.

$$2x-8-x=4\left(2-x\right)$$

Combine 2x and -x to get x.

$$x-8=4\left(2-x\right)$$

Use the distributive property to multiply 4 by 2-x.

$$x-8=8-4x$$

Add 4x to both sides.

$$x-8+4x=8$$

Combine x and 4x to get 5x.

$$5x-8=8$$

Add 8 to both sides.

$$5x=8+8$$

Add 8 and 8 to get 16.

$$5x=16$$

Divide both sides by 5.

$$x=\frac{16}{5}$$