Final answer:
To solve the equation, distribute 0.007 to (x+5) and collect like terms. Divide both sides by 0.004 to isolate x. The solution is x = 6. Substitute the value of x back into the original equation to check.
Step-by-step explanation:
To solve the equation, we will start by distributing 0.007 to (x+5):
0.007(x+5) = 0.011x + 0.011
0.007x + 0.035 = 0.011x + 0.011
Next, we will collect like terms by subtracting 0.007x and 0.011x from both sides:
0.035 - 0.011 = 0.011x - 0.007x
0.024 = 0.004x
Finally, we will divide both sides by 0.004 to isolate x:
x = 0.024/0.004
x = 6
To check the solution, substitute x = 6 back into the original equation:
0.007(6+5) = 0.011(6) + 0.011
0.007(11) = 0.066 + 0.011
0.077 = 0.077