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

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