Solve 2x+1/3-x-4/2=1+5/6x

$$\frac { 2 x + 1 } { 3 } - \frac { x - 4 } { 2 } = 1 + \frac { 5 } { 6 } x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$2\left(2x+1\right)-3\left(x-4\right)=6+5x$$

Use the distributive property to multiply 2 by 2x+1.

$$4x+2-3\left(x-4\right)=6+5x$$

Use the distributive property to multiply -3 by x-4.

$$4x+2-3x+12=6+5x$$

Combine 4x and -3x to get x.

$$x+2+12=6+5x$$

Add 2 and 12 to get 14.

$$x+14=6+5x$$

Subtract 5x from both sides.

$$x+14-5x=6$$

Combine x and -5x to get -4x.

$$-4x+14=6$$

Subtract 14 from both sides.

$$-4x=6-14$$

Subtract 14 from 6 to get -8.

$$-4x=-8$$

Divide both sides by -4.

$$x=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$x=2$$