2(x + 3) = 6(x - 3)
2006-06-10 11:08:51 · 5 answers · asked by ckjnap04 2 in Education & Reference ➔ Homework Help
2(x+3) = 6(x-3)
Distribute the 2 on the left and the 6 on the right
2x + 6 = 6x - 18
Subtract 6x from each side
-4x + 6 = -18
Subtract 6 from each side
-4x = -24
Divide by -4
x = 6
Check:
2(6+3) = 6(6-3)
2(9) = 6(3)
18 = 18
2006-06-10 12:10:18 · answer #1 · answered by MsMath 7 · 1⤊ 0⤋
Simplifying
2(x + 3) = 6(x + -3)
Reorder the terms:
2(3 + x) = 6(x + -3)
(3 * 2 + x * 2) = 6(x + -3)
(6 + 2x) = 6(x + -3)
Reorder the terms:
6 + 2x = 6(-3 + x)
6 + 2x = (-3 * 6 + x * 6)
6 + 2x = (-18 + 6x)
Solving
6 + 2x = -18 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
6 + 2x + -6x = -18 + 6x + -6x
Combine like terms: 2x + -6x = -4x
6 + -4x = -18 + 6x + -6x
Combine like terms: 6x + -6x = 0
6 + -4x = -18 + 0
6 + -4x = -18
Add '-6' to each side of the equation.
6 + -6 + -4x = -18 + -6
Combine like terms: 6 + -6 = 0
0 + -4x = -18 + -6
-4x = -18 + -6
Combine like terms: -18 + -6 = -24
-4x = -24
Divide each side by '-4'.
x = 6
Simplifying
x = 6
2006-06-10 18:34:46 · answer #2 · answered by cmhurley64 6 · 1⤊ 0⤋
2(x+3)=6(x-3)
2x +6=6x-18
-4x=-24
x=6
c mon man!!!this is a class 6ht question..bah!
2006-06-11 05:21:34 · answer #3 · answered by upasanapuri30 2 · 1⤊ 0⤋
2X+6=6X-18
DIVIDE BY 2=X=3
DIVIDE BY 6=(-3)
2006-06-10 18:45:02 · answer #4 · answered by duanetcd 2 · 0⤊ 0⤋
Do your own math homework...
2006-06-10 18:22:55 · answer #5 · answered by Huey 4 · 0⤊ 1⤋