Ok so if 5x + 24 equals 9x - 17, the we can write it like this:
5x + 24 = 9x - 17 ~~~ We have to get x on one side to find out what it is. So you can either subtract 5x from both sides or 9x from both sides. Imma subtract 5x from north sides which becomes:
5x - 5x + 24 = 9x - 5x - 17 Now simplify
24 = 4x - 17 Now isolate 4x. To do that we have to add 17 to both sides
24 + 17 = 4x - 17 + 17 Now simplify
41 = 4x Now we have to get x alone on one side. So divide 4 from both sides. Becomes
41/4 = 4x/4 Now simplify.
10.25 = x
Yes, Both are equivalent.
<u>Step-by-step explanation:</u>
Step 1:
To find the equality between the given terms Use the BODMAS (Brackets Orders Division Multiplication Addition Subtraction)
RHS SIDE:

Equation after 1st modification

Equation after Second modification

Equation after Third modification
LCM 2,4,8 is 8
And taking LCM equation changes to 
Equation after Final modification
--------- 1
Step 2:
LHS SIDE:

By applying the BODMAS rule in the above equation we will get
------------ 2
From equations 1 & 2, the expression
is equivalent to 
Answer:
The coefficient is 3
Step-by-step explanation:
The definition of a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).
The multiples of 14 are 1,2,7,14
the multiples of 22 are 1,2,11,22
Therefore 2 is the GCF