Question

-6(x + 3) +x = -6x + 30
solve the equation for x

Answer 1

To solve the equation, we will simplify and combine like terms on both sides of the equation:

-6(x + 3) + x = -6x + 30

First, distribute the -6 to the terms inside the parentheses:

-6x - 18 + x = -6x + 30

Next, combine like terms on both sides of the equation:

-5x - 18 = -6x + 30

To isolate the variable on one side, we will add 6x to both sides of the equation:

-5x - 6x - 18 = -6x + 6x + 30

Simplifying further:

-11x - 18 = 30

To further isolate the variable, we will add 18 to both sides:

-11x - 18 + 18 = 30 + 18

Simplifying further:

-11x = 48

Finally, to solve for x, divide both sides of the equation by -11:

-11x / -11 = 48 / -11

Simplifying:

x = -48/11

Answer 2

no

Answer 3

Apologies for the incorrect solution. Let's go through the steps again:

-6(x + 3) + x = -6x + 30

Step 1: Distribute the -6 to the terms inside the parentheses.
-6x - 18 + x = -6x + 30

Step 2: Combine like terms on both sides of the equation.
-5x - 18 = -6x + 30

Step 3: Move all terms involving x to one side and the constant terms to the other side.
To do this, we need to add 6x to both sides of the equation.
-5x - 18 + 6x = -6x + 30 + 6x simplifies to x - 18 = 30.

Step 4: Move the constant term to the other side by adding 18 to both sides of the equation.
x - 18 + 18 = 30 + 18 simplifies to x = 48.

Therefore, the value of x that solves the equation -6(x + 3) + x = -6x + 30 is x = 48.

Answer 4

noo

Answer 5

I apologize for the incorrect solution. Let's solve the equation again:

-6(x + 3) + x = -6x + 30

Step 1: Distribute the -6 to the terms inside the parentheses:
-6x - 18 + x = -6x + 30

Step 2: Combine like terms on both sides of the equation:
-5x - 18 = -6x + 30

Step 3: Add 6x to both sides to isolate the x terms:
-5x + 6x - 18 = -6x + 6x + 30
x - 18 = 30

Step 4: Add 18 to both sides:
x - 18 + 18 = 30 + 18
x = 48

Therefore, the value of x that solves the equation -6(x + 3) + x = -6x + 30 is x = 48.