What is the value of x in the equation, 5 (x + 2) + 4x+ = 6x + 1

I think there seems to be a mistake in your question because you put a plus sign "+" right after the number of 4. But without it, x would be equal to -3

Step-by-step explanation:

5 (x + 2) + 4x = 6x + 1

Step 1: Simplify both sides of the equation.

5 (x + 2) + 4x = 6x + 1

(5) (x) + (5) (2) + 4x = 6x + 1  

5x + 10 + 4x = 6x + 1

(5x + 4x) + (10) = 6x + 1

9x + 10 = 6x + 1

Step 2: Subtract 6x from both sides.

9x + 10 − 6x = 6x + 1 − 6x

3x + 10 = 1

Step 3: Subtract 10 from both sides.

3x + 10 − 10 = 1 − 10

3x = − 9

Step 4: Divide both sides by 3.

3x/3 = − 9/3

x = − 3

explanation:

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week