1. Linear Equation: Solve for x : $$ 3(2 x-4)+5=293(2 x-4)+5=29 $$

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UpStudy AI · Accepted Answer

Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$3\left(2x-4\right)+5=29$$
- step1: Move the expression to the left side:
  $$3\left(2x-4\right)+5-29=0$$
- step2: Subtract the numbers:
  $$3\left(2x-4\right)-24=0$$
- step3: Calculate:
  $$6x-36=0$$
- step4: Move the constant to the right side:
  $$6x=0+36$$
- step5: Remove 0:
  $$6x=36$$
- step6: Divide both sides:
  $$\frac{6x}{6}=\frac{36}{6}$$
- step7: Divide the numbers:
  $$x=6$$
To solve the linear equation $$ 3(2x - 4) + 5 = 29 $$, we can follow these steps:

1. **Distribute the 3**:
   $$
   3(2x) - 3(4) + 5 = 29
   $$
   This simplifies to:
   $$
   6x - 12 + 5 = 29
   $$

2. **Combine like terms**:
   $$
   6x - 7 = 29
   $$

3. **Add 7 to both sides**:
   $$
   6x = 29 + 7
   $$
   This simplifies to:
   $$
   6x = 36
   $$

4. **Divide both sides by 6**:
   $$
   x = \frac{36}{6}
   $$
   Thus, we find:
   $$
   x = 6
   $$

The solution to the equation is $$ x = 6 $$.
$$ x = 6 $$

1. Linear Equation: Solve for x : \( 3(2 x-4)+5=293(2 x-4)+5=29 \)

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