Solve left(x-1right)+1/2=-2+x/3

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

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

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

$$6x-6+3=-12+2x$$

Add -6 and 3 to get -3.

$$6x-3=-12+2x$$

Subtract 2x from both sides.

$$6x-3-2x=-12$$

Combine 6x and -2x to get 4x.

$$4x-3=-12$$

Add 3 to both sides.

$$4x=-12+3$$

Add -12 and 3 to get -9.

$$4x=-9$$

Divide both sides by 4.

$$x=\frac{-9}{4}$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$x=-\frac{9}{4}$$