Solve. 6x + 4(3x – 2) = 6x + 2
2007-02-20 17:44:43 · 6 answers · asked by nazerbean1 1 in Science & Mathematics ➔ Mathematics
6x + 4(3x – 2) = 6x + 2
Get rid of parentheses by multiplying 4 by each element inside.
6x + 12x -8 = 6x +2
Combine terms
18x -8 = 6x + 2
Subtract 6x from each side
12 x - 8 = 2
Add 8 to each side
12x = 10
Divide each side by 12 and reduce
x = 10/12 or 5/6
Check your work:
6 (5/6) + 4 (15/6 -12/6) = 6 (5/6) + 2
5 + 4 (3/6 or 1/2) = 5 + 2
5 + 4(1/2) = 5 + 2
5 + 2 = 5 + 2
7 = 7
So your answer works.
You can solve a little easier from the beginning by dropping the 6x from each side, since they don't affect the equation. It works either way.
2007-02-20 17:58:49 · answer #1 · answered by musicimprovedme 7 · 0⤊ 0⤋
6x + 4(3x – 2) = 6x + 2 distribute 4
6x+12x-8=6x+2 subtract 6x from each side
12x-8=2 add 8 to each side
12x=10 divide both sides by 12
x=10/12=5/6
2007-02-21 01:57:09 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋
6x + 4(3x - 2) = 6x + 2
4(3x - 2)= 2 [shift the 6x to the left and cancel them]
12x - 8 = 2
12x = 10
x = 10/12
x = 5/6
2007-02-21 01:52:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Sure!
6x + 4(3x-2) = 6x + 2
Multiplication Property of Equality:
6x + 12x - 8 = 6x + 2
18x - 8 = 6x + 2
Addition Property of Equality:
18x - 6x = 8 + 2
12x = 10
Multiplication Property of Equality:
x = 10 / 12
x = 5 / 6
2007-02-21 01:51:25 · answer #4 · answered by Crys H. 4 · 0⤊ 0⤋
6x + 4(3x-2) = 6x + 2
6x + 12x - 8 = 6x +2
6x + 12x - 6x = 2 + 8
12x = 10
x = 10/12 = 5/6
2007-02-21 01:48:14 · answer #5 · answered by sirius 2 · 0⤊ 0⤋
Yet another one. How do you expect to LEARN how to do it if you have other people figure it out for you?
2007-02-21 01:48:13 · answer #6 · answered by Anthony A 3 · 2⤊ 1⤋