Solve: `4.9x+2.6=5.8-1.5x`

Answer

To solve the equation \( 4.9x + 2.6 = 5.8 - 1.5x \), we will follow these steps:

### Step 1: Move all terms involving \( x \) to one side of the equation.
We can do this by adding \( 1.5x \) to both sides of the equation.

\[ 4.9x + 1.5x + 2.6 = 5.8 \]

### Step 2: Combine like terms.
On the left side, combine \( 4.9x \) and \( 1.5x \).

\[ (4.9 + 1.5)x + 2.6 = 5.8 \]
\[ 6.4x + 2.6 = 5.8 \]

### Step 3: Isolate the term with \( x \).
Subtract \( 2.6 \) from both sides of the equation.

\[ 6.4x = 5.8 - 2.6 \]

### Step 4: Simplify the right side.
Calculate \( 5.8 - 2.6 \).

\[ 6.4x = 3.2 \]

### Step 5: Solve for \( x \).
Divide both sides by \( 6.4 \).

\[ x = \frac{3.2}{6.4} \]

### Step 6: Simplify the fraction.
We can simplify \( \frac{3.2}{6.4} \) by dividing both the numerator and the denominator by \( 3.2 \).

\[ x = \frac{3.2 \div 3.2}{6.4 \div 3.2} = \frac{1}{2} \]

### Final Answer:
\[ x = \frac{1}{2} \]

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