Question

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

Answer 1

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

Answer 2

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