Question

We want to get the x terms alone on one side of the equation, but right now x is inside parentheses on the right. Use the distributive property to multiply −6 and 4x−5 to rewrite the right side of the equation without parentheses. You can think of −6(4x−5) as −6(4x+−5). So, you can multiply -6 by 4x, then add the product of -6 and −5. Start by multiplying -6 by 4x.
y= 4x−5
x= −6y+20
x = −6(4x−5) + 20
x = -6(4x + −5) + 20
x =
+
123 + 20

Answer 1

To apply the distributive property and rewrite \( -6(4x - 5) + 20 \), we first need to multiply:

1. **Multiply \(-6\) by \(4x\)**:
\[
-6 \cdot 4x = -24x
\]

2. **Multiply \(-6\) by \(-5\)**:
\[
-6 \cdot -5 = 30
\]

Now we can rewrite the equation:
\[
x = -6(4x - 5) + 20
\]
Substituting the products we calculated, we get:
\[
x = -24x + 30 + 20
\]

Next, we simplify the constants \(30 + 20\):
\[
30 + 20 = 50
\]

So the equation simplifies to:
\[
x = -24x + 50
\]

Therefore, the right side of the equation without parentheses is:
\[
x = -24x + 50
\]