−(10*x*+10)=

7+3(−10*x*−8)

Answer


 what is x

Let's solve the equation step by step.

### Given equation:
\[
- (10x + 10) = 7 + 3(-10x - 8)
\]

### Step 1: Expand both sides

On the left side:
\[
- (10x + 10) = -10x - 10
\]

On the right side:
\[
7 + 3(-10x - 8) = 7 + (-30x - 24) = 7 - 30x - 24
\]
Simplifying the right-hand side:
\[
7 - 24 - 30x = -17 - 30x
\]

Now the equation becomes:
\[
-10x - 10 = -17 - 30x
\]

### Step 2: Move all terms involving \( x \) to one side

Add \( 30x \) to both sides:
\[
-10x + 30x - 10 = -17
\]
Simplifying:
\[
20x - 10 = -17
\]

### Step 3: Isolate \( x \)

Add \( 10 \) to both sides:
\[
20x = -17 + 10
\]
\[
20x = -7
\]

### Step 4: Solve for \( x \)

Divide both sides by 20:
\[
x = \frac{-7}{20}
\]

Thus, \( x = -\frac{7}{20} \) or approximately \( x = -0.35 \).

Let me know if you would like more details or have any questions.

### Related questions:
1. How do we verify the solution to an equation?
2. Can you solve a similar equation involving fractions?
3. How would the solution change if we multiplied the whole equation by a constant?
4. What happens if the equation had no solution?
5. How can we graph the equation to visualize the solution?

### Tip:
Always simplify both sides of the equation as much as possible before solving for \( x \).

−(10*x*+10)=7+3(−10*x*−8)

what is x

Learn how to solve the linear equation −(10x + 10) = 7 + 3(−10x − 8) with a step-by-step guide. This solution covers key algebraic concepts, including simplifying expressions, combining like terms, and isolating variables. Suitable for students in Grades 8-10.

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