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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(2-x\right)-18=2\left(2x+1\right)$$

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

$$6-3x-18=2\left(2x+1\right)$$

Subtract 18 from 6 to get -12.

$$-12-3x=2\left(2x+1\right)$$

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

$$-12-3x=4x+2$$

Subtract 4x from both sides.

$$-12-3x-4x=2$$

Combine -3x and -4x to get -7x.

$$-12-7x=2$$

Add 12 to both sides.

$$-7x=2+12$$

Add 2 and 12 to get 14.

$$-7x=14$$

Divide both sides by -7.

$$x=\frac{14}{-7}$$

Divide 14 by -7 to get -2.

$$x=-2$$