Solve the following equation for x: 5 – 3(2x – 7) = 8 – 4x
2007-07-01 05:07:19 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
5 - 3(2x - 7) = 8 - 4x
5 - (6x - 21) = 8 - 4x
5 - 6x + 21 = 8 - 4x
Cllecting like terms
- 6x + 26 = 8 - 4x
Transpose 4x
- 6x + 26 + 4x = 8 - 4x + 4x
Collect like terms
- 2x + 26 = 8
Transpose 26
- 2x + 26 - 26 = 8 - 26
- 2x = - 18
Divide both sides of the equation by - 2
- 2x / -2 = - 18 / - 2
x = - 18 / - 2
x = 9
- - - - - - - - -s-
2007-07-01 05:21:35 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
Given:5-3(2x-7)=8-4x
i.e.5-6x+21=8-4x
i.e.26-8=6x-4x=2x
i.e.2x=18
i.e.x=9 is the solution of the given equation.
2007-07-01 05:48:03 · answer #2 · answered by kamaldhero 1 · 0⤊ 0⤋
first you distribute, so the equation turns into: 5-6x+21=8-4x.
then you get the variable on one side by adding 4x to both sides:5-2x+21=8. combine like terms(5-21) : -16-2x=8. add 16 to both sides.: -2x=24. divide both sides by negative 2.
X= -12
2007-07-01 05:19:04 · answer #3 · answered by jen2020 2 · 0⤊ 0⤋
5 - (6x-21) = 8 - 4x
5-6x+21 = 8-4x
-6x+26 = 8-4x
26-8 = -4x+6x
18 = 2x
9 = x
2007-07-01 05:18:57 · answer #4 · answered by Daphne 2 · 0⤊ 0⤋
-3(2x-7)= -6x+21
5-6x+21=8-4x
5+21=8-4x+6x
26=8+2x
26-8=2x
18=2x
9=x
2007-07-01 05:12:33 · answer #5 · answered by Anonymous · 0⤊ 0⤋
32x^9-32x^7+40x^3 divide by -8x^3 = 8 x^3 (4x^6 -4 x^4 +10) / ( -8x^3) = - 4 x^6 + 4 x^4 - 10 =
2016-05-20 02:04:37 · answer #6 · answered by ? 3 · 0⤊ 0⤋
5 - 6x + 21 = 8 - 4x
18 = 2x
x = 9
2007-07-04 20:03:14 · answer #7 · answered by Como 7 · 0⤊ 0⤋
5-3(2x-7)=8-4x
5-6x+21=8-4x
5+21=8-4x+6x
26-8=-4x+6x
18=2x
18/2=x
9=x
2007-07-01 05:18:53 · answer #8 · answered by Kapil 3 · 0⤊ 0⤋
5-3(2x-7)=8-4x
5-6x+21=8-4x
5+21=8-4x+6x
26-8=-4x+6x
18=2x
18/2=x
9=x
2007-07-01 05:18:03 · answer #9 · answered by trinirhia 3 · 0⤊ 0⤋
Remember 'PEMDAS'...It is the order to do it. Parentheses, Exponents, Multiply, Divide, Add, Subtract
2007-07-01 05:15:55 · answer #10 · answered by Serenity 3 · 0⤊ 0⤋