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

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

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

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

$$3\left(5-x\right)+2\left(3x-1\right)=24$$

Use the distributive property to multiply 3 by 5-x.

$$15-3x+2\left(3x-1\right)=24$$

Use the distributive property to multiply 2 by 3x-1.

$$15-3x+6x-2=24$$

Combine -3x and 6x to get 3x.

$$15+3x-2=24$$

Subtract 2 from 15 to get 13.

$$13+3x=24$$

Subtract 13 from both sides.

$$3x=24-13$$

Subtract 13 from 24 to get 11.

$$3x=11$$

Divide both sides by 3.

$$x=\frac{11}{3}$$