Let's solve the equation step by step.
Given: \[ 2(2.5x - 1) = -(1.8 - 4x) \]
Distribute the 2 on the left side: \[ 2 \cdot 2.5x - 2 \cdot 1 = 5x - 2 \]
So the left side becomes: \[ 5x - 2 \]
Distribute the negative sign on the right side: \[ -(1.8) + 4x = -1.8 + 4x \]
So the right side becomes: \[ -1.8 + 4x \]
Now rewrite the equation: \[ 5x - 2 = -1.8 + 4x \]
- Get all terms involving \(x\) on one side and constant terms on the other: \[ 5x - 4x = -1.8 + 2 \] \[ x = 0.2 \]
So the solution to the equation is: \[ x = 0.2 \]
