Solve the equation. $$ 7(5 x+9)=18-(x+9) $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
7(5x + 9) = 18 - (x + 9)
$$

**Step 1: Expand both sides.**

$$
7 \times 5x + 7 \times 9 = 18 - x - 9
$$
$$
35x + 63 = 9 - x
$$

**Step 2: Get all terms containing $$ x $$ on one side and constants on the other.**

Add $$ x $$ to both sides:

$$
35x + x + 63 = 9
$$
$$
36x + 63 = 9
$$

Subtract 63 from both sides:

$$
36x = 9 - 63
$$
$$
36x = -54
$$

**Step 3: Solve for $$ x $$.**

Divide both sides by 36:

$$
x = \frac{-54}{36} = \frac{-3}{2} = -1.5
$$

**Answer:**  
$$ x = -\dfrac{3}{2} $$
$$ x = -1.5 $$

Solve the equation. \( 7(5 x+9)=18-(x+9) \)