Question

1. 0.3x + 1.38 = 0.24x + 1.2

Explanation:

Step1: Subtract \(0.24x\) from both sides

To isolate the \(x\) terms on one side, we subtract \(0.24x\) from each side of the equation \(0.3x + 1.38 = 0.24x + 1.2\). This gives us \((0.3x - 0.24x)+ 1.38=(0.24x - 0.24x)+ 1.2\), which simplifies to \(0.06x+1.38 = 1.2\).

Step2: Subtract 1.38 from both sides

Next, we want to isolate the term with \(x\). So we subtract \(1.38\) from both sides of the equation \(0.06x + 1.38=1.2\). This results in \(0.06x+1.38 - 1.38=1.2 - 1.38\), which simplifies to \(0.06x=- 0.18\).

Step3: Divide both sides by 0.06

To solve for \(x\), we divide both sides of the equation \(0.06x=-0.18\) by \(0.06\). Using the formula \(x=\frac{- 0.18}{0.06}\), we calculate that \(x = - 3\).

Answer:

\(x=-3\)