Solve 2x/3-1/2=5x/2+4/3

$$\frac { 2 x } { 3 } - \frac { 1 } { 2 } = \frac { 5 x } { 2 } + \frac { 4 } { 3 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$2\times 2x-3=3\times 5x+8$$

Multiply 2 and 2 to get 4.

$$4x-3=3\times 5x+8$$

Multiply 3 and 5 to get 15.

$$4x-3=15x+8$$

Subtract 15x from both sides.

$$4x-3-15x=8$$

Combine 4x and -15x to get -11x.

$$-11x-3=8$$

Add 3 to both sides.

$$-11x=8+3$$

Add 8 and 3 to get 11.

$$-11x=11$$

Divide both sides by -11.

$$x=\frac{11}{-11}$$

Divide 11 by -11 to get -1.

$$x=-1$$