Question

2(5x + 1) = 3(3x + 7)

a) x = 19
b) x = 20
c) x = 21

Can you please explain it step by step please? I don't get the question and I want some easy, thorough explanation with a through guide of what you're calculating. Thank you so much!

Answer 1

first of all, "expand"

10x + 2 = 9x + 21
subtract 9x from both sides
10x <b>- 9x</b> + 2 = 9x <b>- 9x</b> + 21
x + 2 = 21
subtract 2 from both sides
x + 2 <b>-2</b> = 21 <b>-2</b>
x = 19

Answer 2

2(5x + 1) = 3(3x + 7)

Combine the terms.
10x + 2 = 9x + 21

Get the unknowns on one side of the equation. Subtract 9x from both sides.
10x - 9x + 2 = 9x - 9x + 21
x + 2 = 21

Subtract 2 from both sides of the equation.
x = 19

You can prove it by substituting 19 for x in your original problem.

Answer 3

ok thanks so much the both of you! =D x <3