$$ \left. \begin{array} { l } { 4 - 2 ( 7 + 8 x ) = 12 - 6 ( 2 x - 7 ) + 4 x } \ { 4 imes \quad A \quad - 4 } \ { 4 imes 8 } \ { 4 imes 8 } \end{array} ight. $$

Question

$$ \left. \begin{array} { l } { 4 - 2 ( 7 + 8 x ) = 12 - 6 ( 2 x - 7 ) + 4 x } \ { 4 	imes \quad A \quad - 4 } \ { 4 	imes 8 } \ { 4 	imes 8 } \end{array} ight. $$

UpStudy AI · Accepted Answer

Certainly! Let's solve the equation step-by-step.

**Given Equation:**
$$
4 - 2(7 + 8x) = 12 - 6(2x - 7) + 4x
$$

**Step 1: Expand Both Sides**

1. **Left Side:**
   $$
   4 - 2(7 + 8x) = 4 - 14 - 16x = -10 - 16x
   $$

2. **Right Side:**
   $$
   12 - 6(2x - 7) + 4x = 12 - 12x + 42 + 4x = (12 + 42) + (-12x + 4x) = 54 - 8x
   $$

**After Expansion:**
$$
-10 - 16x = 54 - 8x
$$

**Step 2: Gather Like Terms**

1. **Add $$16x$$ to both sides to get all $$x$$ terms on one side:**
   $$
   -10 = 54 + 8x
   $$

2. **Subtract $$54$$ from both sides to get constants on the other side:**
   $$
   -10 - 54 = 8x
   $$
   $$
   -64 = 8x
   $$

**Step 3: Solve for $$x$$**
$$
x = \frac{-64}{8} = -8
$$

**Solution:**
$$
x = -8
$$
$$ x = -8 $$

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