Question

Solve for xx:
minus, left parenthesis, 10, x, plus, 10, right parenthesis, equals, 7, plus, 3, left parenthesis, minus, 10, x, minus, 8, right parenthesis
−(10x+10)=
7+3(−10x−8)
show work easly

Answer 1

To solve the equation

\[
-(10x + 10) = 7 + 3(-10x - 8),
\]

we'll first simplify both sides step by step.

### Step 1: Simplify the left side

The left side is:

\[
-(10x + 10) = -10x - 10.
\]

### Step 2: Simplify the right side

Now, simplify the right side. Start with:

\[
7 + 3(-10x - 8).
\]

Distribute the 3:

\[
3(-10x) + 3(-8) = -30x - 24.
\]

Now, add this to 7:

\[
7 - 30x - 24 = -30x - 17.
\]

### Step 3: Set both simplified sides equal

Now we have the equation:

\[
-10x - 10 = -30x - 17.
\]

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

Next, let's get all the \( x \) terms on one side and the constants on the other. Start by adding \( 30x \) to both sides:

\[
-10x + 30x - 10 = -17,
\]

which simplifies to:

\[
20x - 10 = -17.
\]

Now, add 10 to both sides:

\[
20x = -17 + 10,
\]
\[
20x = -7.
\]

Finally, divide both sides by 20 to isolate \( x \):

\[
x = \frac{-7}{20}.
\]

Thus, the solution is:

\[
\boxed{-\frac{7}{20}}.
\]