What is the solution to the equation
5(2x+4) = 4(2x+9)
A. x=8
B. x= 28/9
C. x=4
D. x=7/2
To solve the equation, we will distribute on both sides and then simplify the equation.
5(2x+4) = 4(2x+9)
10x + 20 = 8x + 36
Next, we will subtract 8x from both sides:
10x + 20 - 8x = 8x + 36 - 8x
2x + 20 = 36
Next, we will subtract 20 from both sides:
2x + 20 - 20 = 36 - 20
2x = 16
Finally, we will divide both sides by 2 to solve for x:
(2x)/2 = 16/2
x = 8
Therefore, the solution to the equation is x = 8.
So, the correct answer is A. x = 8.