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

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

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$3\left(x+2\right)+30=6x-2\left(x-2\right)+24$$

Use the distributive property to multiply 3 by x+2.

$$3x+6+30=6x-2\left(x-2\right)+24$$

Add 6 and 30 to get 36.

$$3x+36=6x-2\left(x-2\right)+24$$

Use the distributive property to multiply -2 by x-2.

$$3x+36=6x-2x+4+24$$

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

$$3x+36=4x+4+24$$

Add 4 and 24 to get 28.

$$3x+36=4x+28$$

Subtract 4x from both sides.

$$3x+36-4x=28$$

Combine 3x and -4x to get -x.

$$-x+36=28$$

Subtract 36 from both sides.

$$-x=28-36$$

Subtract 36 from 28 to get -8.

$$-x=-8$$

Multiply both sides by -1.

$$x=8$$