Six times the sum of a number and 2 equals two times the number minus 5. Now, find the number

Question

Can someone please help me with this

Answer 1

To complete this you must recognize the "key words":

sum/ and= addition (+)

times = multiplication (x or *)

minus = subtraction (-)

equals = both sides of the equation are equation

for example 5 = 5 or 4-1 =5

a number = unknown usually using x or n

If we take it step by step you get:

1) 6 times ---- 6 multiplied by

2) the sum of a number and 2 ----- 6 multiplied by the addition of a unknown number plus 2

*** remember our order of operations here***

3) equals two times the unknown number ----- 6 multiplied by the addition of a unknown number where 2 equals 2 multiplied by the unknown number

4) minus 5 ---- 6 multiplied by the addition of a unknown number where 2 equals 2 multiplied by the unknown number subtracted by 5

1) 6*

2) (x+2) ----> 6*(x+2)

3) = 2* -----> 6*(x+2) = 2*

4) -5 ----> 6*(x+2) = 2*x - 5

6*(x+2) = 2*x - 5

We use parentheses around (x+2) as it says sum rather than add or and

(for example if it says six time a number plus 5, we would right 6x+5, veres if it says 6 times the sum of a number plus five, we write 6(x+5) )