1/3(2x-3)+1=1/4(3x+5)-2?

multiply every term by 12,
8x-12 + 12 = 9x+15-24
x= 9

Should probably be shown as :-
(1/3) (2x - 3) + 1 = (1/4) (3x + 5) - 2
8x - 12 + 12 = 9x + 15 - 24
8x = 9x - 9
x = 9

1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
(2x - 3)/3 + 1 = (3x + 5)/4 - 2
12[(2x - 3)/3 + 1] = 12[(3x + 5)/4 - 2]
4(2x - 3) + 12 = 3(3x + 5) - 24
4*2x - 4*3 + 12 = 3*3x + 3*5 - 24
8x - 12 + 12 = 9x + 15 - 24
8x = 9x - 9
8x - 9x = -9
-x = -9
x = -9/-1
x = 9

1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done

For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer

multiply every term by 12,
8x-12 + 12 = 9x+15-24
x= 9

based on my understanding.. hmm..first, multiply the equation by 12 (4 x 3) which is your denominators..then, combine like terms.. it will be 4(2x-3) + 12 = 3(3x + 5) - 24.... then..8x - 12 +12 = 9x + 15 - 24..
8x = 9x + 15 - 24..
9x - 8x = 24 - 15..
x = 9...

Do you mean:
(1/3)(2x - 3) + 1 = (1/4)(3x + 5) - 2

Multiply everything by 12:
(12/3)(2x - 3) + 12 = (12/4)(3x + 5) - 24

4(2x - 3) + 12 = 3(3x + 5) - 24

8x - 12 + 12 = 9x + 15 - 24

8x = 9x - 9

9 = x

1/3(2x-3)+1=1/4(3x+5)-2
Multiply by 12 (lcm of 3 and 4)
4(2x - 3) + 12 = 3(3x + 5) - 24
8x - 12 + 12 = 9x + 15 - 24
8x = 9x - 9
x = 9

answer is -24:
How: common denominator is 12
then 4(2x-3)+1 = 3(3x+5)-2
then 8x-12+1 = 9x+15-2
then 8x-12 = 9x+15-2-1
then 8x-12 = 9x+15-3
then 8x = 9x+12+12
then 8x-9x = 24
then -x = 24
then x = -24

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