Solve 1/2x-21/3=-11/3

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

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

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$3x-2\times 7=-2\left(3+1\right)$$

Multiply -2 and 7 to get -14.

$$3x-14=-2\left(3+1\right)$$

Add 3 and 1 to get 4.

$$3x-14=-2\times 4$$

Multiply -2 and 4 to get -8.

$$3x-14=-8$$

Add 14 to both sides.

$$3x=-8+14$$

Add -8 and 14 to get 6.

$$3x=6$$

Divide both sides by 3.

$$x=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$x=2$$