Solve 3x+8/2-4x=x-5/3

$$\frac { 3 x + 8 } { 2 } - 4 x = \frac { x - 5 } { 3 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(3x+8\right)-24x=2\left(x-5\right)$$

Use the distributive property to multiply 3 by 3x+8.

$$9x+24-24x=2\left(x-5\right)$$

Combine 9x and -24x to get -15x.

$$-15x+24=2\left(x-5\right)$$

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

$$-15x+24=2x-10$$

Subtract 2x from both sides.

$$-15x+24-2x=-10$$

Combine -15x and -2x to get -17x.

$$-17x+24=-10$$

Subtract 24 from both sides.

$$-17x=-10-24$$

Subtract 24 from -10 to get -34.

$$-17x=-34$$

Divide both sides by -17.

$$x=\frac{-34}{-17}$$

Divide -34 by -17 to get 2.

$$x=2$$