Determine the number of solutions of this equation. Show your work and explain your reasoning. 7x + 5 = 2(4x + 3)

Given the equation, 7x + 5 = 2(4x + 3):

Distribute 2 into the terms inside the parenthesis:

7x + 5 = 2(4x + 3)
7x + 5 = 8x + 6

Subtract 5 from both sides:

7x + 5 - 5 = 8x + 6 - 5

7x = 8x + 1

Then, subtract 8x from both sides:

7x - 8x = 8x + 1 - 8x

- x = 1

Finally, divide both sides by -1 to solve for x:

-x / -1 = 1 / -1

x = -1

Therefore, the solution to the given equation is -1.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.