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

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

Solve for x

$$x = \frac{27}{2} = 13\frac{1}{2} = 13.5$$

Steps for Solving Linear Equation

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

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

Multiply 2 and 2 to get 4.

$$4x-5x=24-3\left(x-1\right)$$

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

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

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

$$-x=24-3x+3$$

Add 24 and 3 to get 27.

$$-x=27-3x$$

Add 3x to both sides.

$$-x+3x=27$$

Combine -x and 3x to get 2x.

$$2x=27$$

Divide both sides by 2.

$$x=\frac{27}{2}$$