Question

X+(2x+3)+.3(2x+3)=38.10 What’s the answer to this question?

Answer 1

Answer:

x = 9.5

Step-by-step explanation:

$x+(2x+3)+0.3(2x+3)=38.10\qquad\text{use the distributive property for}\ 0.3(2x+3)\\\\x+2x+3+(0.3)(2x)+(0.3)(3)=38.1\\\\x+2x+3+0.6x+0.9=38.1\qquad\text{combine like terms}\\\\(x+2x+0.6x)+(3+0.9)=38.1\\\\3.6x+3.9=38.1\qquad\text{subtract 3.9 from both sides}\\\\3.6x+3.9-3.9=38.1-3.9\\\\3.6x=34.2\qquad\text{divide both sides by 3.6}\\\\\dfrac{3.6x}{3.6}=\dfrac{34.2}{3.6}\\\\x=9.5$

Answer 2

Answer:

x = 9.5

Step-by-step explanation:

Step 1:  Distribute

x + (2x + 3) + 0.3(2x + 3) = 38.10

x + 2x + 3 + 0.6x + 0.9 = 38.10

Step 2:  Combine Like Terms

x + 2x + 3 + 0.6x + 0.9 = 38.10

3.6x + 3.9 = 38.10

Step 3:  Subtract 3.9 from both sides

3.6x + 3.9 - 3.9 = 38.10 - 3.9

3.6x / 3.6 = 34.2 / 3.6

x = 9.5

Answer:  x = 9.5