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

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

Solve for x

$$x = -\frac{9}{5} = -1\frac{4}{5} = -1.8$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by 1-x.

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

Add 3x to both sides.

$$2x+12+3x=3$$

Combine 2x and 3x to get 5x.

$$5x+12=3$$

Subtract 12 from both sides.

$$5x=3-12$$

Subtract 12 from 3 to get -9.

$$5x=-9$$

Divide both sides by 5.

$$x=\frac{-9}{5}$$

Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.

$$x=-\frac{9}{5}$$