Which equation will have the same solution as 3 – 5(2x + 1) = 3(3 + x)?
a.
11x = –13
b.
11x = 13
c.
13x = –11
d.
13x = 11

Probably the easiest way to solve this is to simplify the equation that you are given and then see which ones are equal. So the equation is . So if you expand both sides of the equation, it now looks like . So if you add like terms on both sides, the simplified equation is . Since we want to isolate the variable on one side, add 2 to both sides to eliminate it from the left hand side of the equation and subtract 3x from both sides to eliminate it from the right hand side of the equation. So the equation now looks like . Now look at the answer choices that you have. Since the coefficient in front of the x is 13, you know that it must be 13, leaving only choice C and D. You can divide both sides by negative one to move it over to the other side, so now the equation is , which is answer choice C.

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!