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

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

Solve for x

$$x = \frac{33}{2} = 16\frac{1}{2} = 16.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8,4.

$$4\left(x+3\right)=9+6\left(x-5\right)$$

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

$$4x+12=9+6\left(x-5\right)$$

Use the distributive property to multiply 6 by x-5.

$$4x+12=9+6x-30$$

Subtract 30 from 9 to get -21.

$$4x+12=-21+6x$$

Subtract 6x from both sides.

$$4x+12-6x=-21$$

Combine 4x and -6x to get -2x.

$$-2x+12=-21$$

Subtract 12 from both sides.

$$-2x=-21-12$$

Subtract 12 from -21 to get -33.

$$-2x=-33$$

Divide both sides by -2.

$$x=\frac{-33}{-2}$$

Fraction \frac{-33}{-2} can be simplified to \frac{33}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{2}$$