To find the value of x in the equation 0.5x + 2.6 = 5x + 0.35, we need to isolate x on one side of the equation. We can start by subtracting 0.5x from both sides to get rid of the x-term on the left side:
0.5x + 2.6 - 0.5x = 5x + 0.35 - 0.5x
Simplifying the left side and combining like terms on the right side, we get:
2.6 = 4.5x + 0.35
Subtracting 0.35 from both sides, we get:
2.6 - 0.35 = 4.5x
Simplifying and dividing both sides by 4.5, we get:
x = (2.6 - 0.35)/4.5 = 0.5
Therefore, the value of x is 0.5.