Solve 2x/3+2=9/2-3x/2

$$\frac{ 2x }{ 3 } +2= \frac{ 9 }{ 2 } - \frac{ 3x }{ 2 }$$

Solve for x

$$x = \frac{15}{13} = 1\frac{2}{13} \approx 1.153846154$$

Steps for Solving Linear Equation

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

$$2\times 2x+12=27-3\times 3x$$

Multiply 2 and 2 to get 4.

$$4x+12=27-3\times 3x$$

Multiply -3 and 3 to get -9.

$$4x+12=27-9x$$

Add 9x to both sides.

$$4x+12+9x=27$$

Combine 4x and 9x to get 13x.

$$13x+12=27$$

Subtract 12 from both sides.

$$13x=27-12$$

Subtract 12 from 27 to get 15.

$$13x=15$$

Divide both sides by 13.

$$x=\frac{15}{13}$$