Solve 3-3x/2=5/8-4x-3/6

$$3- \frac{ 3x }{ 2 } = \frac{ 5 }{ 8 } - \frac{ 4x-3 }{ 6 }$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 2,8,6.

$$72-12\times 3x=15-4\left(4x-3\right)$$

Multiply -12 and 3 to get -36.

$$72-36x=15-4\left(4x-3\right)$$

Use the distributive property to multiply -4 by 4x-3.

$$72-36x=15-16x+12$$

Add 15 and 12 to get 27.

$$72-36x=27-16x$$

Add 16x to both sides.

$$72-36x+16x=27$$

Combine -36x and 16x to get -20x.

$$72-20x=27$$

Subtract 72 from both sides.

$$-20x=27-72$$

Subtract 72 from 27 to get -45.

$$-20x=-45$$

Divide both sides by -20.

$$x=\frac{-45}{-20}$$

Reduce the fraction \frac{-45}{-20} to lowest terms by extracting and canceling out -5.

$$x=\frac{9}{4}$$