Solve for x
2007-04-17 11:46:05 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(5x-3)/7 = (15x-2)/28
4(5x-3) = 15x - 2
20 x - 12 = 15 x - 2
5 x = 10
x = 2
2007-04-17 11:50:08 · answer #1 · answered by John S 6 · 0⤊ 0⤋
(5x -3) / 7 = (15x -2) /28 Multiply each side by 28
4(5x-3) = 15x -2
20x -12 = 15x -2
5x = 10
x = 2
Check 5(2) -3/7 = 1
15(2) -2 / 28 = 30 - 2/28 = 28/28 =1
2007-04-17 18:54:21 · answer #2 · answered by kale_ewart 5 · 0⤊ 0⤋
Start by multiplying both sides by 28 to get: 4(5x-3)=(15x-2)
This becomes 20x-12=15x-2 so 5x=10 so x=2.
2007-04-17 18:50:33 · answer #3 · answered by bruinfan 7 · 0⤊ 0⤋
x=2
2007-04-17 18:49:40 · answer #4 · answered by Chris 5 · 0⤊ 0⤋
1. Multiply both sides by 28.
4 (5x - 3) = 15x - 2
2. Distribute the 4.
20x - 12 = 15x - 2
3. Combine like terms
5x = 10
4. Divide both sides by 5.
x = 2
2007-04-17 18:51:47 · answer #5 · answered by E Grill 2 · 0⤊ 0⤋
(5x-3)/7=(1`5x-2)/28
=>4(5x-3)=`15x-2 [multiplying both sides by 28]
=> 20x-12=15x-2
=>20x-15x=-2+12
=>5x=10
=>x=2
2007-04-17 18:56:18 · answer #6 · answered by alpha 7 · 0⤊ 0⤋
(5x-3)*28=(15x-2)*7 Multiply crossing top term in one side with the lower term on the other, and viceversa.
140x-84=105x-14 Multiply the paretheses to get an easier arrangement of terms.
140x=105x+70 Add 84 to the right.
35x=70 Substract 105x on the left to have the x on one side and the 'normal' numbers on the other.
x=70/35 divide to find x.
x=2 Solve the division.
2007-04-17 18:52:49 · answer #7 · answered by Juan 3 · 0⤊ 0⤋
cross multiply
(5x - 3) * 28 = 140x - 84
(15x - 2) * 7 = 105x - 14
gather like terms
140x - 105x = -14 + 84
35x = 70
x = 70/35
x = 2
2007-04-17 18:50:52 · answer #8 · answered by Anonymous · 0⤊ 0⤋