Solve 3x+5/2-2x-5.5/3=1/6

$$\frac{ 3x+5 }{ 2 } - \frac{ 2x-5.5 }{ 3 } = \frac{ 1 }{ 6 }$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

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

$$3\left(3x+5\right)-2\left(2x-5.5\right)=1$$

Use the distributive property to multiply 3 by 3x+5.

$$9x+15-2\left(2x-5.5\right)=1$$

Use the distributive property to multiply -2 by 2x-5.5.

$$9x+15-4x+11=1$$

Combine 9x and -4x to get 5x.

$$5x+15+11=1$$

Add 15 and 11 to get 26.

$$5x+26=1$$

Subtract 26 from both sides.

$$5x=1-26$$

Subtract 26 from 1 to get -25.

$$5x=-25$$

Divide both sides by 5.

$$x=\frac{-25}{5}$$

Divide -25 by 5 to get -5.

$$x=-5$$