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

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

Solve for x

$$x = \frac{13}{5} = 2\frac{3}{5} = 2.6$$

Steps for Solving Linear Equation

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

$$2x+12=4x-1+3x$$

Combine 4x and 3x to get 7x.

$$2x+12=7x-1$$

Subtract 7x from both sides.

$$2x+12-7x=-1$$

Combine 2x and -7x to get -5x.

$$-5x+12=-1$$

Subtract 12 from both sides.

$$-5x=-1-12$$

Subtract 12 from -1 to get -13.

$$-5x=-13$$

Divide both sides by -5.

$$x=\frac{-13}{-5}$$

Fraction \frac{-13}{-5} can be simplified to \frac{13}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{5}$$