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

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

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 6x from both sides.

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

Combine 3x and -6x to get -3x.

$$-3x-3=2$$

Add 3 to both sides.

$$-3x=2+3$$

Add 2 and 3 to get 5.

$$-3x=5$$

Divide both sides by -3.

$$x=\frac{5}{-3}$$

Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$x=-\frac{5}{3}$$