Solve: 7 - [4 + 2 (x - 3)] = 11 (x + 2)?

Question

Please show me step by step how to solve this problem. Thanks!

Answer 1

1. Remove all parenthesis.
2. Subtract or add all whole numbers.
3. Divide value of x to determine actual value of x.

1. 7-[4+2(x-3)]= 11(x+2) becomes 7-(4+2x-6)= 11x+22
Then becomes 7-4-2x+6=11x+22. Then do the addition and subtraction, which would end up in -2x+9=11x+22. Then subtract 22 from both sides, which ends you up with -2x-13=11x. Then add 2x to both sides, which ends you up with -13= 13x.
Now divide both sides by 13, and you end up with -1=x.

Answer 2

Solve the "x" variable in the equation.

7 - [4 + 2(x - 3)] = 11(x + 2)

First: eliminate parenthesis - use the Distribution Method.

7 - [4+2(x)+2(- 3)] = 11(x)+11(2)

7 - [4+2x-6] = 11x+22

7 - [- 2 +2x] = 11x+22

*Eliminate the bracket - distribute the negative sign with the terms in the bracket.

7 + 2 - 2x = 11x+22
9 - 2x = 11x + 22

Sec: subtract 11x from both sides (when you move a term to the opposite side, always use the opposite sign).

9 - 2x - 11x = 11x - 11x + 22
9 - 13x = 22

*Subtract 9 from both sides.

9 - 9 - 13x = 22 - 9
-13x = 13

Third: divide both sides by -13.

-13x/-13 = 13/-13
x = -1

Answer 3

7 - [4 + 2 (x - 3)] = 11 (x + 2)
7 - [4 + 2 (x - 3)] = 11x + 22
7 - [4 + 2x - 6] = 11x + 22
7 - [2x - 2] = 11x + 22
7 - 2x + 2 = 11x + 22
9 - 2x = 11x + 22
9 - 22 = 11x + 2x
- 13 = 13x
x = -13/ 13
x = -1

Answer 4

7 - [4 + 2 (x - 3)] = 11 (x + 2)
7 - [4 + 2x - 6] = 11x + 22
7 -[-2 + 2x] = 11x + 22
7 + 2 - 2x - 11x = 22
-13x = 22- 9
x = 13 : -13
x = -1
Solution: {x belongs to R| x = -1}
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Answer 5

7-[4+2x-6]=11x+22

7-4-2x+6=11x+22
9-2x=11x+22
9-2x+2x=11x+2x+22
9=13x+22
9-22=13x+22-22
-13=13x
-1=x

Answer 6

7-[4+2(x-3)]=11(x+2)
7-[4+2x-6]=11x+22
7-[-2+2x]=11x+22
7+2-2x=11x+22
9-2x=11x+22
-2x-11x=22-9
-13x=13
-x=13/13
-x=1
x=-1