Question

For the equation 2(x−5)=9−3x+6+8+3x+7
the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms.

Simplify the left side of the equation:

Simplify the right side of the equation:

Answer 1

Let's simplify both sides of the equation step by step.

### Left Side:
For the left side, we have:
\[ 2(x - 5) \]

Applying the Distributive Property:
\[ 2 \cdot x - 2 \cdot 5 = 2x - 10 \]

### Right Side:
For the right side, we have:
\[ 9 - 3x + 6 + 8 + 3x + 7 \]

Now, let's combine like terms. First, let's separate the constants and the \(x\) terms:
- Constants: \(9 + 6 + 8 + 7\)
- \(x\) terms: \(-3x + 3x\)

Calculating the constants:
\[ 9 + 6 = 15 \]
\[ 15 + 8 = 23 \]
\[ 23 + 7 = 30 \]

Now for the \(x\) terms:
\[-3x + 3x = 0\]

Putting it all together, the right side simplifies to:
\[ 30 \]

### Summary:
- The left side simplifies to: **\(2x - 10\)**
- The right side simplifies to: **\(30\)**

So after simplification, the equation looks like:
\[ 2x - 10 = 30 \]