Question

What is the answer of the equation 2(x+2)-7+x=27

Answer 1

The answer is x = 10

Answer 2

Answer:

x = 10

Step-by-step explanation:

Solve for x:

2 (x + 2) - 7 + x = 27

2 (x + 2) = 2 x + 4:

2 x + 4 + x - 7 = 27

Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):

(2 x + x) + (4 - 7) = 27

2 x + x = 3 x:

3 x + (4 - 7) = 27

4 - 7 = -3:

3 x + -3 = 27

Add 3 to both sides:

3 x + (3 - 3) = 3 + 27

3 - 3 = 0:

3 x = 27 + 3

27 + 3 = 30:

3 x = 30

Divide both sides of 3 x = 30 by 3:

(3 x)/3 = 30/3

3/3 = 1:

x = 30/3

The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:

Answer:  x = 10