Sure, let's solve these equations one by one, step-by-step.
### 1. Solve [tex]\(2x + 8 = 4\)[/tex]
First, we want to isolate [tex]\(x\)[/tex]:
1. Subtract 8 from both sides:
[tex]\[
2x + 8 - 8 = 4 - 8
\][/tex]
Simplifies to:
[tex]\[
2x = -4
\][/tex]
2. Divide both sides by 2:
[tex]\[
\frac{2x}{2} = \frac{-4}{2}
\][/tex]
Simplifies to:
[tex]\[
x = -2
\][/tex]
Therefore, the solution to [tex]\(2x + 8 = 4\)[/tex] is [tex]\(x = -2\)[/tex].
### 2. Solve [tex]\(-6x = 48\)[/tex]
To isolate [tex]\(x\)[/tex]:
1. Divide both sides by -6:
[tex]\[
\frac{-6x}{-6} = \frac{48}{-6}
\][/tex]
Simplifies to:
[tex]\[
x = -8
\][/tex]
Therefore, the solution to [tex]\(-6x = 48\)[/tex] is [tex]\(x = -8\)[/tex].
### 3. Solve [tex]\(5 + 2x = 35\)[/tex]
First, we want to isolate [tex]\(x\)[/tex]:
1. Subtract 5 from both sides:
[tex]\[
5 + 2x - 5 = 35 - 5
\][/tex]
Simplifies to:
[tex]\[
2x = 30
\][/tex]
2. Divide both sides by 2:
[tex]\[
\frac{2x}{2} = \frac{30}{2}
\][/tex]
Simplifies to:
[tex]\[
x = 15
\][/tex]
Therefore, the solution to [tex]\(5 + 2x = 35\)[/tex] is [tex]\(x = 15\)[/tex].
### Summary of Solutions:
- [tex]\(2x + 8 = 4\)[/tex] → [tex]\(x = -2\)[/tex]
- [tex]\(-6x = 48\)[/tex] → [tex]\(x = -8\)[/tex]
- [tex]\(5 + 2x = 35\)[/tex] → [tex]\(x = 15\)[/tex]
These are the solutions to the given equations.
