Solve the equation $$ 21(2-x)+12 x=44 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$ 21(2 - x) + 12x = 44 $$

Let's follow the steps to find the value of $$ x $$.

### Step 1: Distribute the 21 into the parentheses

$$ 21 \times 2 - 21 \times x + 12x = 44 $$
$$ 42 - 21x + 12x = 44 $$

### Step 2: Combine like terms

Combine the terms containing $$ x $$:

$$ -21x + 12x = -9x $$

So the equation becomes:

$$ 42 - 9x = 44 $$

### Step 3: Isolate the term with $$ x $$

Subtract 42 from both sides to move the constant term to the right side:

$$ 42 - 42 - 9x = 44 - 42 $$
$$ -9x = 2 $$

### Step 4: Solve for $$ x $$

Divide both sides by -9 to solve for $$ x $$:

$$ x = \frac{2}{-9} $$
$$ x = -\frac{2}{9} $$

### Conclusion

The solution to the equation is:

$$ x = -\frac{2}{9} $$
$$ x = -\frac{2}{9} $$

Solve the equation \( 21(2-x)+12 x=44 \)