Question

olve for x: −4(3x+10)−2=54.(1 point) Responses

Answer 1

Solve for x : 20x−5(6x+15)=−45 .(1 point)

Answer 2

To solve the equation \(-4(3x + 10) - 2 = 54\), let's follow the steps:

1. Distribute \(-4\) to the terms inside the parentheses:
\[
-4 \cdot 3x - 4 \cdot 10 - 2 = 54
\]
This simplifies to:
\[
-12x - 40 - 2 = 54
\]

2. Combine the constants:
\[
-12x - 42 = 54
\]

3. Add \(42\) to both sides to isolate the term with \(x\):
\[
-12x = 54 + 42
\]
This simplifies to:
\[
-12x = 96
\]

4. Divide both sides by \(-12\):
\[
x = \frac{96}{-12}
\]
This simplifies to:
\[
x = -8
\]

So the solution is:
\[
\boxed{-8}
\]

Answer 3

To solve the equation \(20x - 5(6x + 15) = -45\), follow these steps:

1. Distribute the \(-5\) to the terms inside the parentheses:
\[
20x - 5 \cdot 6x - 5 \cdot 15 = -45
\]
This simplifies to:
\[
20x - 30x - 75 = -45
\]

2. Combine like terms on the left side:
\[
(20x - 30x) - 75 = -45
\]
This simplifies to:
\[
-10x - 75 = -45
\]

3. Add \(75\) to both sides to isolate the term with \(x\):
\[
-10x = -45 + 75
\]
This simplifies to:
\[
-10x = 30
\]

4. Divide both sides by \(-10\):
\[
x = \frac{30}{-10}
\]
This simplifies to:
\[
x = -3
\]

So the solution is:
\[
\boxed{-3}
\]