1/2x-2=1/3(x-2)?

Answer 1

1/(2x-2)=1/3(x-2)
1/(x-1)=2/3(x-2)

x-2=2/3(x-1)
x-(2x/3)=2-2/3
x=4

Answer 2

1/2x - 2 = 1/3(x - 2)
1/2x - 2 = 1/3x - 2/3 ** when shift side, "-ve" become "+ve" and vice-versa.
1/2x - 1/3x = -2/3 + 2 ** to equal the base 2 x 3 = 6
3/6x - 2/6x = -2/3 + 6/3 ** 6/3 = 2
3/6x - 2/6x = 4/3
1/6x = 4/3
x = 4/3 x 6/1
x = 24/3
x = 8

to check
1/2x - 2 = 1/3(x - 2)
1/2(8) - 2 = 1/3 (8-2)
8/2 - 2 = 1/3 (6)
4-2 = 6/3
2 = 2

Answer 3

1/2x-2=1/3(x-2)
Or, 3x - 12 = 2x - 4 ( multiplying both sides by 6)
Or, x = 8.

Answer 4

1/2x - 2 = 1/3 (x - 2)
6(1/2x - 2 = 1/3x - 2/3)
3x - 12 = 2x - 4
3x - 2x = 12 - 4
x = 8

Answer 5

(1/2)x - 2 = (1/3)(x - 2)
(1/2)x - 2 = (1/3)x - (2/3)

Multiply everything by 6

3x - 12 = 2x - 4
x = 8

Answer 6

1/2x-2=1/3(x-2)
or, 1/2*x -1/3*x = 2-2/3
or, 1/6*x = 4/3
or, x = 4*6/3 = 8

Answer 7

1/2x-2=1/3(x-2)
3x-12=2x-4
x=8

Answer 8

first, multiply both sides by lowest common denominator: 6.

6( 1/2x -2) = 6(1/3(x-2))
3x - 12 = 2(x-2)

now distribute: 3x - 12 = 2x -4

move x terms to one side: x -12 = -4

move numbers to other side: x = 8.

Answer 9

[(3/4)x² - (one million/3)x + one million/2] - [(2/3)x² - (one million/2)x + one million/4] combine like words and watch the signs and indications. [(3/4) - (2/3)]x² + [ - (one million/3) + (one million/2)]x +{(one million/2) - (one million/4)] [9/12 - 8/12]x² + [ - 2/6 + 3/6]x + [2/4 - one million/4] = (one million/12)x² + (one million/6)x + one million/4

Answer 10

3(X-2)=2X-2
3X-6=2X-2
3X-2X= -2 + 6
X = 4