153k views
0 votes
Solve for x, 3(5+2x) = (-x+15).

User Csiu
by
8.6k points

1 Answer

3 votes

Final answer:

The equation 3(5+2x) = (-x+15) simplifies to 0 = 0, indicating that there are infinitely many solutions for x, and any real number for x will satisfy the equation.

Step-by-step explanation:

To solve for x in the equation 3(5+2x) = (-x+15), we first need to expand and simplify both sides of the equation. By distributing the 3 on the left side, we get:

3 × 5 + 3 × 2x = 15 + 6x

On the right side, the equation is already simplified to -x + 15.

Now we have:

15 + 6x = -x + 15

Next, we bring the x terms to one side and the constant terms to the other side by adding x to both sides and subtracting 15 from both sides:

15 + 6x + x = -x + 15 + x

15 - 15 + 6x + x = 0 + 7x

This simplifies to:

6x + x = 7x

Since we now have 7x on both sides, we see that the equation simplifies to 0 = 0, which indicates that there are infinitely many solutions, meaning any real number for x will satisfy the equation.

User Iantist
by
8.3k points

No related questions found