x/2 + x/8 = 3x/4 - 5?

5/8x = 3/4x - 5

5/8x = 6/8 x - 5

5/8x +5 = 6/8x

1/8x = 5

x = 40

Edit: LOL at the first guy, a top contributor in mathmatics, getting this simple problem wrong.

Express as a common denominator using the largest one 8:

Thus:

4x/8 + x/8 = 6x/8 - 5

5x/8 = 6x/8-5

Transpose the negative terms (making them positive)

5= 6x/8-5x/8 = x/8 (6-5) = x/8

Thus x/8 = 5, then multiply through by 8 to isolate x

and then the expression becomes x= 5 times 8 or 40

x/2 + x/8 = 3x/4 - 5
Multiply by LCM = 8
4x + x = 6x - 40
40 = x
x = 40

to "smash brackets" you in basic terms could multiply them out and upload them jointly. The formula is: (a+b)(c+d)=a*c + a*d + b*c + b*d So (x+8)(x+a million) is finished interior of right here way: x * x = x squared (additionally written x^2) x * a million = x 8 * x = 8x 8 * a million = 8 so the respond is: x^2 + x + 8x + 8 which equals: x^2+9x+8. you should use the comparable technique for all of those indexed on your question. the two distinctive ones are (x-10)squared and (3x-4)squared. those could be re-written (x-10)(x-10) and (3x-4)(3x-4) respectively.

4x + x = 6x - 40
5x = 6x - 40
40 = x

x/2+x/8=3x/4 - 5
4x/8+x/8=3x/4 - 5
5x/8=3x/4-5
5x/8-6x/8=-5
-x/8=-5
x=40

x/2 + x/8 = 3x/4 - 5
8(x/2 + x/8) = 8(3x/4 - 5)
4x + x = 6x - 5
5x - 6x = -5
-x = -5
x = -5/-1
x = 5