To solve the equation \( 2(2.5x - 1) = -(1.8 - 4x) \), we can first distribute both sides and then simplify.
Distribute on the left side:
\( 2 \cdot 2.5x - 2 \cdot 1 = 5x - 2 \)Distribute on the right side:
\( -1.8 + 4x \)
Now we have the equation: \[ 5x - 2 = -1.8 + 4x \]
Next, let's isolate \( x \):
- Subtract \( 4x \) from both sides:
\( 5x - 4x - 2 = -1.8 \)
\( x - 2 = -1.8 \)
- Subtract \( 4x \) from both sides:
Then, add \( 2 \) to both sides:
\( x = -1.8 + 2 \)
\( x = 0.2 \)
So the solution is: \[ x = 0.2 \]
