You people please help me
problem is
solve for x:
2x+16=3x-4(x+2)
2007-03-01 10:46:42 · 11 answers · asked by Anonymous in Education & Reference ➔ Homework Help
2x+16=3x-4(x+2)
2x+16=3x-4x-8
2x+16=-x-8
2x+x=-8-16
3x=-24
x=-8
2007-03-01 10:57:54 · answer #1 · answered by k_electron 2 · 0⤊ 0⤋
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http://www.algebrahelp.com/calculators/equation/
Simplifying
2x + 16 = 3x + -4(x + 2)
Reorder the terms:
16 + 2x = 3x + -4(x + 2)
Reorder the terms:
16 + 2x = 3x + -4(2 + x)
16 + 2x = 3x + (2 * -4 + x * -4)
16 + 2x = 3x + (-8 + -4x)
Reorder the terms:
16 + 2x = -8 + 3x + -4x
Combine like terms: 3x + -4x = -1x
16 + 2x = -8 + -1x
Solving
16 + 2x = -8 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
16 + 2x + x = -8 + -1x + x
Combine like terms: 2x + x = 3x
16 + 3x = -8 + -1x + x
Combine like terms: -1x + x = 0
16 + 3x = -8 + 0
16 + 3x = -8
Add '-16' to each side of the equation.
16 + -16 + 3x = -8 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = -8 + -16
3x = -8 + -16
Combine like terms: -8 + -16 = -24
3x = -24
Divide each side by '3'.
x = -8
Simplifying
x = -8
2007-03-01 18:56:54 · answer #2 · answered by Joe 3 · 0⤊ 0⤋
1. Distibute: 2x+16=3x-4x-8
2. Simplify: 2x+16=-x-8
3. Put like terms together, add -x to left side: 3x+16=-8
4. Subtract 16 from left side and put it on the right: 3x=-24
5. Divide -24 by 3: x=-8
6. There you go and don't forget to check it! x=-8
2007-03-01 19:17:12 · answer #3 · answered by sarahh 3 · 0⤊ 0⤋
multiply the 4 into the parentheses on the right side. So you get:
2x+16=3x - 4x -8
subtract the 3x and 4x on the right side to get:
2x +16 = -x -8
Add x to both sides to get:
3x + 16 = -8
Subtract 16 from both sides to get x by itself on the left:
3x = -24
Divide both sides by 3:
x = -8
There ya go
2007-03-01 18:53:15 · answer #4 · answered by kdesky3 2 · 0⤊ 0⤋
2x + 16 = 3x - 4(x+2)
2x + 16 = 3x - 4x - 8
2x - 3x +4x = -8 - 16
3 x = -24
x = -8
2007-03-08 02:02:36 · answer #5 · answered by flower 2 · 0⤊ 0⤋
2x +16 = (3x - 4)(x + 2)
2x + 16 = 3x to the power of 2 + 6x - 4x - 8
2x - 3x to the power of 2 - 6x + 4x = - 8 - 16
-3x to the power of 2 = -24
x to the power of 2 = -24/-3
square root of x = square root of 8
x = 2.828
2007-03-08 21:25:44 · answer #6 · answered by leachim 3 · 0⤊ 0⤋
ok.. first lets simplify it by multiplying the second half to get
2x+16= 3x - 4x -8
2x+16 = -x -8 we moved everything over and combined.
2x = -x -24
3x= -24
x= -8
ta da...
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2007-03-01 18:53:12 · answer #7 · answered by ca_surveyor 7 · 0⤊ 0⤋
x= -8
2007-03-01 18:51:49 · answer #8 · answered by John G 4 · 0⤊ 0⤋
2x+16=3x-4(x+2)
2x+16=3x^2+2x-8
0=3x^2-24
+-sqrt24=3x
+-sqrt24/3=x
2007-03-01 18:51:47 · answer #9 · answered by dave 2 · 0⤊ 1⤋
2x+16=3x-4x-8
6x+16=3x-8
3x+16=-8
3x=-24
x=-8
2007-03-06 20:18:43 · answer #10 · answered by someone 2 · 0⤊ 0⤋