Question

simplify completley

-8(x+4)

12-(x+9)

2(5x-6)

3(4x+1)=10x

Answer 1

Let's simplify each expression one by one:

1. **-8(x + 4)**:
\[
-8(x + 4) = -8x - 32
\]

2. **12 - (x + 9)**:
\[
12 - (x + 9) = 12 - x - 9 = 3 - x
\]

3. **2(5x - 6)**:
\[
2(5x - 6) = 10x - 12
\]

4. **3(4x + 1) = 10x**:
First, simplify the left side:
\[
3(4x + 1) = 12x + 3
\]
Now set it equal to the right side:
\[
12x + 3 = 10x
\]
To isolate \(x\), subtract \(10x\) from both sides:
\[
12x - 10x + 3 = 0 \implies 2x + 3 = 0
\]
Now, solve for \(x\):
\[
2x = -3 \implies x = -\frac{3}{2}
\]

Here are the simplified forms:

1. **-8(x + 4) = -8x - 32**
2. **12 - (x + 9) = 3 - x**
3. **2(5x - 6) = 10x - 12**
4. **The solution for 3(4x + 1) = 10x is \(x = -\frac{3}{2}\)**.