Solve the equation. $$ 8 x+7-2(x+1)=9 x+7 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
8x + 7 - 2(x + 1) = 9x + 7
$$

**Step 1: Expand the equation**

First, distribute the $$-2$$ across the $$(x + 1)$$:

$$
8x + 7 - 2x - 2 = 9x + 7
$$

**Step 2: Combine like terms**

Combine the $$x$$ terms and the constant terms on the left side:

$$
(8x - 2x) + (7 - 2) = 6x + 5
$$

So the equation simplifies to:

$$
6x + 5 = 9x + 7
$$

**Step 3: Isolate the variable term**

Subtract $$6x$$ from both sides to get the $$x$$ terms on one side:

$$
5 = 3x + 7
$$

**Step 4: Solve for $$x$$**

Subtract $$7$$ from both sides:

$$
5 - 7 = 3x
$$
$$
-2 = 3x
$$

Finally, divide both sides by $$3$$:

$$
x = \frac{-2}{3}
$$

**Solution:**

$$
x = -\frac{2}{3}
$$
$$ x = -\frac{2}{3} $$

Solve the equation. \[ 8 x+7-2(x+1)=9 x+7 \]