Question

What is the solution for the following equation? 6(x + 5) + 2 = 8(2x - 5) + 22

A) -5
B) 5
C) 4.8
D) 3

Answer 1

The solution to the equation 6(x + 5) + 2 = 8(2x - 5) + 22 is x = 5, after distributing, combining like terms, and isolating the variable x.

Step-by-step explanation:

The solution for the equation 6(x + 5) + 2 = 8(2x - 5) + 22 is found by simplifying and solving for x. First, distribute the 6 and the 8 into the parentheses:

6x + 30 + 2 = 16x - 40 + 22.

Next, simplify both sides:

6x + 32 = 16x - 18.

Then, get all the x terms on one side and the constants on the other:

6x - 16x = -18 - 32.

This simplifies to:

-10x = -50.

Finally, divide by -10 to solve for x:

x = 5.

Therefore, the solution for the equation is x = 5, which corresponds to option B.