Solve 16x – 15 = –5x + 48
16x – 15 = –5x + 48
16x + 5x = 48 + 15
21x = 63
x = 3
-(x-8y) distribute it
To solve the given equation, follow these steps:
1. Start by simplifying each side of the equation.
- Simplify the left side by using the distributive property: 16x - 15 becomes 16x - 15.
- Simplify the right side by combining like terms: -5x + 48 becomes -5x + 48.
The equation now becomes: 16x - 15 = -5x + 48.
2. To isolate the variable x on one side of the equation, we need to eliminate the -5x term from the right side by adding 5x to both sides of the equation.
- Add 5x to both sides of the equation:
16x - 15 + 5x = -5x + 48 + 5x.
Simplifying the equation further, we get 21x - 15 = 48.
3. Next, we need to isolate the constant term (-15) on the left side of the equation by adding 15 to both sides.
- Add 15 to both sides of the equation:
21x - 15 + 15 = 48 + 15.
Simplifying the equation further, we get 21x = 63.
4. Finally, we solve for x by isolating it on one side of the equation. We divide both sides of the equation by 21.
- Divide both sides of the equation by 21:
(21x) / 21 = 63 / 21.
Simplifying the equation further, we get x = 3.
Therefore, the solution to the equation 16x - 15 = -5x + 48 is x = 3.