Now, add 6x to both sides of the equation to get rid of the −6x on the right, and get all the x terms on the left side of the equation.

Question

y= 3x−5
x= −2y+11
x
=
−2(3x−5) + 11

x
=
−2(3x+−5) + 11

x
=
−6x + 10 + 11

x
=
−6x + 21
+
6x
+
6x

=

Answer 1

Let's solve the equation step-by-step.

1. We start with the last derived equation you provided:

\[ x = -6x + 21 \]

2. Now, we want to add \(6x\) to both sides of the equation to get all the \(x\) terms on the left side:

\[ x + 6x = -6x + 21 + 6x \]

3. This simplifies to:

\[ 7x = 21 \]

4. From here, we can solve for \(x\) by dividing both sides by 7:

\[ x = \frac{21}{7} \]

5. Therefore, we find:

\[ x = 3 \]

So, after adding \(6x\) to both sides and simplifying, we have found \(x = 3\).