Solving the Equation: (5x - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)
Step 1: Simplify the Equation
Let's start by simplifying the equation:
(5x - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)
First, let's simplify the parentheses:
5x - 0.8 - 1.6 + 4.7a = 2a - a + 0.3
Step 2: Combine Like Terms
Next, let's combine the like terms:
5x - 2.4 + 4.7a = a + 0.3
Step 3: Isolate the Variable
Now, let's isolate the variable x:
5x + 4.7a = a + 2.7
Subtract a from both sides:
5x + 3.7a = 2.7
Subtract 3.7a from both sides:
5x = 2.7 - 3.7a
x = (2.7 - 3.7a) / 5
Conclusion
And that's the solution to the equation! We have successfully solved for x in terms of a.