Question

simplify completley
-8(x+4)

12-(x+9)

2(5x-6)

3(4x+1)=10x

..

Answer 1

Let's simplify each expression one at a time:

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

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

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

4. **For \(3(4x + 1) = 10x\)**:
First, simplify the left side:
\[
3(4x + 1) = 12x + 3
\]
Set this equal to \(10x\):
\[
12x + 3 = 10x
\]
Now, isolate \(x\):
\[
12x - 10x = -3 \\
2x = -3 \\
x = -\frac{3}{2}
\]

After simplifying all expressions, here are the results:
1. \(-8(x + 4) = -8x - 32\)
2. \(12 - (x + 9) = 3 - x\)
3. \(2(5x - 6) = 10x - 12\)
4. The solution to \(3(4x + 1) = 10x\) is \(x = -\frac{3}{2}\).