To solve the equation 2x + 3 + 5x = 52x + 6, we first need to combine like terms on the left side of the equation.
1. Combine the x terms on the left side:
2x + 5x = 7x
This simplifies our equation to:
7x + 3 = 52x + 6
2. Next, we want to isolate the x variable. To do this, we can move the 52x to the left side by subtracting it from both sides:
7x + 3 – 52x = 6
3. This simplifies to:
-45x + 3 = 6
4. Now, isolate the -45x term by subtracting 3 from both sides:
-45x = 6 – 3
-45x = 3
5. Finally, divide both sides by -45 to solve for x:
x = 3 / -45
x = -1/15
Thus, the value of x in the equation 2x + 3 + 5x = 52x + 6 is -1/15.