Solve the equation for x. show each step of the solution. name the justification for each step of the solution. 9/2( 8 - x ) + 36 = 102 - 5/2 ( 3x + 24 )

X= -10

9/2(8-x)+36=102-5/2(3x+24)

We move all terms to the left:

9/2(8-x)+36-(102-5/2(3x+24))=0

Domain of the equation: 2(8-x)!=0

x∈R

Domain of the equation: 2(3x+24))!=0

x∈R

We add all the numbers together, and all the variables

9/2(-1x+8)-(102-5/2(3x+24))+36=0

We calculate fractions

(18x3/(2(-1x+8)*2(3x+24)))+(-(-10x0)/(2(-1x+8)*2(3x+24)))+36=0

We calculate terms in parentheses: +(18x3/(2(-1x+8)*2(3x+24))), so:

18x3/(2(-1x+8)*2(3x+24))

We multiply all the terms by the denominator

18x3

We add all the numbers together, and all the variables

18x^3