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

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

Solve for x

$$x = \frac{37}{11} = 3\frac{4}{11} \approx 3.363636364$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x-5.

$$2x-10+3\left(3x-1\right)=24$$

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

$$2x-10+9x-3=24$$

Combine 2x and 9x to get 11x.

$$11x-10-3=24$$

Subtract 3 from -10 to get -13.

$$11x-13=24$$

Add 13 to both sides.

$$11x=24+13$$

Add 24 and 13 to get 37.

$$11x=37$$

Divide both sides by 11.

$$x=\frac{37}{11}$$