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3 years ago

3x+2-5x=10 what is X

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

Answer:

x = -4

Step-by-step explanation:

Solve for x:

3 x - 5 x + 2 = 10

Grouping like terms, 3 x - 5 x + 2 = 2 + (3 x - 5 x):

2 + (3 x - 5 x) = 10

3 x - 5 x = -2 x:

-2 x + 2 = 10

Subtract 2 from both sides:

(2 - 2) - 2 x = 10 - 2

2 - 2 = 0:

-2 x = 10 - 2

10 - 2 = 8:

-2 x = 8

Divide both sides of -2 x = 8 by -2:

(-2 x)/(-2) = 8/(-2)

(-2)/(-2) = 1:

x = 8/(-2)

The gcd of 8 and -2 is 2, so 8/(-2) = (2×4)/(2 (-1)) = 2/2×4/(-1) = 4/(-1):

x = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:

Answer: x = -4

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