2(x + 6) - 4 = 2(x - 7) + 22?

Answer 1

2(x + 6) - 4 = 2(x - 7) + 22

The distributive Property

2x + 12 - 4 = 2x - 14 + 22

Collecting Like terms

2x + 8 = 2x + 8

Transpose 2x

2x + 8 - 2x = 2x + 8 - 2x

The coefficient and variables cancell. no solution.

- - - - - - -s-

Answer 2

distribute first
2x + 12 - 4 = 2x - 14 + 22

Collect like terms
2x + 8 = 2x + 8

This is an identity, so any value of x will make the equation true.
Answer {x I x is any real number}

Answer 3

in basic terms multiply the variety exterior the parenthesis, 4 by the stuff interior the parenthesis: 2x+9, to grant you 8x+36, then rewrite the comprehensive equation: 6+8x+36=-22 Now, upload 6+36 to get 40 two and write that interior the equation: 40 two+8x=-22 Now flow the 40 two to the different area, once you gain this, replace THE sign as quickly because it particularly is on the different area: 8x=-22-40 two Now do the operation: -22-40 two to grant you -sixty 4 8x=-sixty 4 Now divide by 8 to get x: x=-sixty 4/8 x=-8 it particularly is it.

Answer 4

2(x + 6) - 4 = 2(x - 7) + 22
2x +12 - 4 = 2x - 14 + 22
x + 12 - 4 = -14 + 22
x + 8 = 8
x = 0

Answer 5

2x + 12 - 4 = 2x - 14 + 22
12 - 4 = -14 + 22 (by canceling out 2x)
8 = 8
So it's true for all values of x.

Answer 6

2(x + 6) - 4 = 2(x - 7) + 22
2x+8=2x+8
so???

Answer 7

2(x + 6) - 4 = 2(x - 7) + 22
x+6-2=x-7+11
(since on both sides Xgets cancelled and holds for all values of X)
therefore infinite solutions.

Answer 8

2(x+6)-4=2(x-7)+22
2x+12-4=2x-14+22
2x+8=2x+8
8=2x+8-2x
8=8

The statement of equality is true.

Answer 9

Try http://www.chartwellyorke.com/derive.html

Or use any scientific calculator with the SOLVE feature. On my calc (a Casio fx-570MS), it's [2] [(] [ALPHA] [X] [+] [6] [)] [-] [4] [ALPHA] [=] [2] [(] [ALPHA] [X] [-] [7] [)] [+] [2] [2] [ALPHA] [SOLVE] (input a value) [APLHA] [SOLVE]. In this case it will just redisplay any value you input there, that is any value is a good solution; otherwise, the output would be a near approximation of the answer.

Take the time to read through the instruction leaflets. They ARE useful.

This way you won't need to spend 5 points to solve equations anymore!

Answer 10

here:

2x + 12 - 4 = 2x - 14 + 22

2x + 8 = 2x + 8 (subract 2x from both sides)

8 = 8 (which is a true statement)

Answer: all real numbers