3. What is the solution to the equation 5x + 7 + 2 x = 7 (2x + 3) - 63?

Step-by-step explanation:

5x+7+2x=7 (2x+3) - 63

We move all terms to the left:

5x+7+2x - (7 (2x+3) - 63) = 0

We add all the numbers together, and all the variables

7x - (7 (2x+3) - 63) + 7=0

We calculate terms in parentheses: - (7 (2x+3) - 63), so:

7 (2x+3) - 63

We multiply parentheses

14x+21-63

We add all the numbers together, and all the variables

14x-42

Back to the equation:

- (14x-42)

We get rid of parentheses

7x-14x+42+7=0

We add all the numbers together, and all the variables

-7x+49=0

We move all terms containing x to the left, all other terms to the right

-7x=-49

x=-49/-7

x=+7 - Answer

x = 7

Step-by-step explanation:

5x+7+2x = 7 (2x+3) - 63

Distribute into the parenthesis.

5x+7+2x = 14x+21-63

Add common multiples and constants.

(5x+2x) + 7 = 14x + (21-63)

7x+7 = 14x-42

Move the variable to one side, to do that, subtract 7x to both sides.

7x+7 = 14x-42

-7x - 7x

7 = 7x-42

Add 42 to both sides.

7 = 7x-42

+42 + 42

49 = 7x

Now, divide both sides by 7 to isolate the variable.

49 = 7x

7 7

x = 7