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

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

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$2\times 2x+24=3\times 2x+6$$

Multiply 2 and 2 to get 4.

$$4x+24=3\times 2x+6$$

Multiply 3 and 2 to get 6.

$$4x+24=6x+6$$

Subtract 6x from both sides.

$$4x+24-6x=6$$

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

$$-2x+24=6$$

Subtract 24 from both sides.

$$-2x=6-24$$

Subtract 24 from 6 to get -18.

$$-2x=-18$$

Divide both sides by -2.

$$x=\frac{-18}{-2}$$

Divide -18 by -2 to get 9.

$$x=9$$