Please show me step by step how to solve this problem. Thanks!
2007-05-11 06:25:10 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1. distributive property
x + 15x -100 = 10x - 40
2. add common variables
16x - 100 = 10x - 40
3. add 100 to each side
16x = 10x + 60
4. subtract 10x from each side
6x = 60
5. divide each side by 6
x = 10
2007-05-11 06:31:23 · answer #1 · answered by Bethany 2 · 2⤊ 0⤋
Solve the "x" variable in the equation.
x + 5(3x - 20) = 10(x - 4)
First: eliminate parenthesis - use the distribution method.
x+5(3x)+5(-20) = 10(x)+10(-4)
x+15x-100= 10x-40
16x - 100 = 10x - 40
Sec: subtract 10x from both sides (when you move a term to the opposit side, always use the opposite sign).
16x - 10x - 100 = 10x- 10x - 40
6x - 100 = - 40
Sec: add 100 with both sides.
6x - 100 +100= - 40 + 100
6x = 60
Third: divide both sides by 6.
6x/6 = 60/6
x = 10
2007-05-11 12:53:39 · answer #2 · answered by ♪♥Annie♥♪ 6 · 1⤊ 0⤋
Simplifying one part at a time...
x + 5(3x-20) = 10(x-4)
x + 15X - 100 = 10x - 40
16x - 100 = 10x - 40
6x - 100 = -40
6x = 60
x = 10
2007-05-11 06:29:05 · answer #3 · answered by jonmm 4 · 1⤊ 0⤋
=> x + 15x -100 = 10x -40
=> 16x -100 = 10x -40
=> 16x - 10x = -40 + 100
=> 6x = 60
=> x = 10
2007-05-11 21:32:41 · answer #4 · answered by ♫})i({ ♥∂Λ₱ħѝε♥ })i({♫ 4 · 1⤊ 0⤋
Follow the order of operations.
x + 15x - 100 = 10x - 40
Collect like terms:
16x - 10x = 100 - 40
6x = 60
x = 10.
2007-05-11 06:33:24 · answer #5 · answered by Anonymous · 1⤊ 0⤋
x + 15x - 100 = 10x - 40
16x - 10x = 100 - 40
6x = 60
x = 10
2007-05-11 21:07:57 · answer #6 · answered by Como 7 · 1⤊ 0⤋
I think its this, hope that helps
x+5(3x-20)=10(x-4)
x+15x-100=10x-40
-10x -10x
x+5x-100=-40
+100 +100
x+5x=60
6x=60
x=10
2007-05-11 06:34:09 · answer #7 · answered by Ashley 1 · 1⤊ 0⤋
we can solve this using trial and error, letme for the sake of ease take x=5, then
5+ 5(3*5-20)
5+5(15-20)
nah not right
lets try 10
10+ 5(3*10-20)
10+ 5(10)
10+50
60
=10(10-4)
=60
voila
2007-05-11 06:36:06 · answer #8 · answered by Gooner44 2 · 1⤊ 1⤋
x+5(3x-20)=10(x-4)
x+15x-100=10x-40
16x-100=10x-40
16x-10x=-40+100
6x=60
x=60/6
x=10
2007-05-11 18:48:11 · answer #9 · answered by sam 3 · 1⤊ 0⤋