Is 1/8-10(3/4-3/8x)=5/8x equivalent to -1/8(59-35x)

No

Step-by-step explanation:

Expand the following:

1/8 - 10 (3/4 - (3 x)/8) = (5 x)/8

-10 (3/4 - (3 x)/8) = -10 ((-3 x)/8) - 10×3/4:

-15/2 + (15 x)/4 + 1/8 = (5 x)/8

-10×3/4 = (-10×3)/4:

-10/8 (-3) x + -15/2 + 1/8 = (5 x)/8

The gcd of -10 and 4 is 2, so (-10×3)/4 = ((2 (-5)) 3)/(2×2) = 2/2×(-5×3)/2 = (-5×3)/2:

-10/8 (-3) x + (-5 3)/2 + 1/8 = (5 x)/8

The gcd of -10 and 8 is 2, so (-10 (-3) x)/8 = ((2 (-5)) (-3) x)/(2×4) = 2/2×(-5 (-3) x)/4 = (-5 (-3) x)/4:

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

-5×3 = -15:

-5/4 (-3) x + 1/2-15 + 1/8 = (5 x)/8

-5 (-3) = 15:

15 x/4 - 15/2 + 1/8 = (5 x)/8

Grouping like terms, (15 x)/4 - 15/2 + 1/8 = (15 x)/4 + (1/8 - 15/2):

(15 x)/4 + (1/8 - 15/2) = (5 x)/8

1/8 - 15/2 = -59/8:

(15 x)/4 + -59/8 = (5 x)/8

Multiply both sides by 8:

8 ((15 x)/4 - 59/8) = (8×5 x)/8

(8×5 x)/8 = 8/8×5 x = 5 x:

8 ((15 x)/4 - 59/8) = 5 x

8 ((15 x)/4 - 59/8) = 8×(15 x)/4 + 8×(-59)/8:

(8×15 x)/4 - 59/8×8 = 5 x

8×(-59)/8 = (8 (-59))/8:

(8 15 x)/4 + -59 = 5 x

(8 (-59))/8 = 8/8×-59 = -59:

(8 15 x)/4 + -59 = 5 x

8/4 = (4×2)/4 = 2:

2×15 x - 59 = 5 x

2×15 = 30:

30 x - 59 = 5 x

Subtract 5 x from both sides:

(30 x - 5 x) - 59 = 5 x - 5 x

30 x - 5 x = 25 x:

25 x - 59 = 5 x - 5 x

5 x - 5 x = 0:

25 x - 59 = 0

Add 59 to both sides:

25 x + (59 - 59) = 59

59 - 59 = 0:

25 x = 59

Divide both sides of 25 x = 59 by 25:

(25 x)/25 = 59/25

25/25 = 1:

 x = 59/25

whereas

Expand the following:

-(59 - 35 x)/8

-(59 - 35 x) = -(-35 x) - 59:

(-(-35 x) - 59)/8

-(-35) = 35:

(35 x - 59)/8

(35 x - 59)/8 = (35 x)/8 + 1/8 (-59):

(35 x)/8 - 59/8

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