What is the solution of the equation -1.2x-3=0.8x+0.6. Round the answer to the nearest tenth

1 answer

To solve the equation \(-1.2x - 3 = 0.8x + 0.6\), we will first move all the terms involving \(x\) to one side and the constant terms to the other side.

Starting with the original equation:

\[ -1.2x - 3 = 0.8x + 0.6 \]

Add \(1.2x\) to both sides:

\[ -3 = 0.8x + 1.2x + 0.6 \]

This simplifies to:

\[ -3 = 2.0x + 0.6 \]

Next, subtract \(0.6\) from both sides:

\[ -3 - 0.6 = 2.0x \]

This gives:

\[ -3.6 = 2.0x \]

Now, divide both sides by \(2.0\):

\[ x = \frac{-3.6}{2.0} \]

Calculating this gives:

\[ x = -1.8 \]

Rounding to the nearest tenth, the final solution is:

\[ \boxed{-1.8} \]