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!
first of all, "expand"
10x + 2 = 9x + 21
subtract 9x from both sides
10x - 9x + 2 = 9x - 9x + 21
x + 2 = 21
subtract 2 from both sides
x + 2 -2 = 21 -2
x = 19
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.
ok thanks so much the both of you! =D x <3
Of course! Let's break down the given equation step by step:
Step 1: Distribute the multiplication on both sides of the equals sign.
On the left side: 2 * (5x + 1) = 10x + 2.
On the right side: 3 * (3x + 7) = 9x + 21.
Step 2: After distributing, the equation becomes 10x + 2 = 9x + 21.
Step 3: Now, to solve for x, we need to isolate it on one side of the equation. To do this, we will move the constants to one side and the variables to the other side.
Subtract 9x from both sides: 10x - 9x + 2 = 9x - 9x + 21.
This simplifies to: x + 2 = 21.
Step 4: Finally, subtract 2 from both sides: x + 2 - 2 = 21 - 2.
This gives us the solution: x = 19.
So, the correct answer is a) x = 19.
You can verify the solution by substituting x = 19 back into the original equation and check if both sides are equal.