To solve the equation 2(3x – 5) = 7x + 10, we’ll follow these steps:
- Distribute the 2 on the left side of the equation to both terms inside the parentheses:
2 * 3x – 2 * 5 = 7x + 10
This simplifies to:
6x – 10 = 7x + 10
- Now, let’s isolate the variable x by moving all the terms containing x to one side of the equation and the constants to the other side. We’ll do this by subtracting 6x from both sides of the equation:
6x – 6x – 10 = 7x – 6x + 10
This simplifies to:
-10 = x + 10
- Next, subtract 10 from both sides to isolate x:
-10 – 10 = x + 10 – 10
This simplifies to:
-20 = x
So, the solution to the equation 2(3x – 5) = 7x + 10 is:
x = -20
