i need the step by step method for working through an equation like this please. Thank you for your time!
2(4-X)-(3X+2)=7+4(X-7)
2007-09-06 19:38:59 · 14 answers · asked by mystraven85 4 in Science & Mathematics ➔ Mathematics
8 - 2x -3x - 2= 7 + 4x-28
6-5x= -21+ 4x
27= 9x
x=3
2007-09-06 19:43:00 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Problem: Determine the value of x for the given equation.
Method: Add, subtract, multiply and divide on both sides of the equation as needed.
Solution: Simply put, you want to get x all by itself on one side of the equation. You do that by first simplifying the terms on both sides of the equation:
1) 2(4-x) - (3x+2) = 7 + 4(X-7)
=> Resolve brackets. Remember that -(a+b) is really -1 * ( a + b), so -(3x+2) becomes -3x -2. Likewise, 2(4-x) = 2*4 - 2*x = 8 -2x and 4(x-7) = 4*x - 4*7 = 4x -28.
2) 8 -2x -3x -2 = 7 + 4x - 28
=> Consolidate. 8-2 = 6. -2x -3x = -5x. 7-28 = -21
3) 6 -5x = 4x - 21
=> Try to get all x on one side and all numbers on the other side. You do that by adding and subtracting x'es and numbers as needed on both sides of the equation.
To get the x to the right side, we have to add 5x on both sides of the equation:
4) 6 -5x + 5x = 4x + 5x - 21
=> Now we can simplify by doing the additions: -5x +5x = 0 and 4x + 5x = 9x
5) 6 = 9x - 21
=> Now we have to get rid of the -21 on the right side, so we add 21 on both sides of the equation:
6) 6 + 21 = 9x -21 + 21
=> Simplify again: 6 + 21 = 27; -21 + 21 = 0.
7) 27 = 9x
=> All that is left is to divided both sides of the equation by 9 to find the value for a single x.
8) 27 / 9 = 9x / 9
=> Simplify: 27 / 9 = 3; 9x / 9 = x.
9) 3 = x
=> Solution: x = 3
2007-09-07 03:05:33 · answer #2 · answered by Thomas B 1 · 1⤊ 0⤋
2(4-x) - (3x + 2) = 7 + 4(x-7) ; simplify first
8 - 2x - 3x - 2 = 7 + 4x - 28
- 2x - 3x - 4x = 7 - 28 - 8 + 2 ; combine all x's and numbers
-9x = -27 ; again simplify
x= 3 ; answer
2007-09-07 02:52:45 · answer #3 · answered by jaboyski 3 · 1⤊ 0⤋
No Problem.
2(4-x) - (3x+2) = 7 + 4(x-7)
8 - 2x - (3x+2) = 7 + 4x - 28
8 - 2x - 3x - 2 = 7 + 4x - 28
8 - 7 -2 + 28 = 2x + 3x + 4x
27 = 9x
---> x = 3
2007-09-07 02:46:10 · answer #4 · answered by Anonymous · 1⤊ 1⤋
step 1: open the brackets on both LHS and RHS
8-2x-3x-2=7+4x-28
step2: Get all the constants on one side and those with X on other
-2x-3x-4x=7-28-8+2
step 3: -9x= -27
step 4: x= -27/ -9
step 5: 27 is 3 times 9 and minus sign cancels off
hence you have x=3.
2007-09-07 02:54:20 · answer #5 · answered by badcat 1 · 1⤊ 0⤋
2(4-x)-(3x+2)=7+4(x-7)
8-2x-3x-2=7+4x-28
6-5x=4x-21
27=9x
3=x
2007-09-07 02:44:24 · answer #6 · answered by Anonymous · 1⤊ 0⤋
2(4-X)-(3X+2)=7+4(X-7) expand all the brackets
8-2X-3X-2=7+4X-28 simplify
6-5X=4X-21 bring all the X to 1 side all the known value to another side
6+21=4X+5X simplify
27=9X divide both side by 9
3=X Tataa~
2007-09-07 02:51:39 · answer #7 · answered by ジャンリン 5 · 1⤊ 0⤋
multiply first before you add or subtract
8 - 2x - 3x - 2 = 7 + 4x - 28
combine like terms
- 5x - 4x = -21 - 6
-9x = -27
x = -27/-9
x = 3
2007-09-07 02:49:32 · answer #8 · answered by ferdie 2 · 1⤊ 0⤋
2(4-X)-(3X+2)=7+4(X-7) 8-2X-3X-2=7+4X-28
-5X+6=4X-21
-9X=-27
X=-27/-9
X=3
Good luck!
2007-09-07 02:50:00 · answer #9 · answered by tsunami boy 2 · 1⤊ 0⤋
(8 - 2x) - (3X+2) = 7 + (4x - 28)
-5x + 10 = 4x -21
-9x = -31
9x = 31
just a guess.
2007-09-07 02:43:24 · answer #10 · answered by mommy_to_mason2006 3 · 1⤊ 2⤋