Solve the equation 2x-1=4x+5

x = - 3

Step-by-step explanation:

Solve for x:

2 x - 1 = 4 x + 5

Subtract 4 x from both sides:

(2 x - 4 x) - 1 = (4 x - 4 x) + 5

2 x - 4 x = - 2 x:

-2 x - 1 = (4 x - 4 x) + 5

4 x - 4 x = 0:

-2 x - 1 = 5

Add 1 to both sides:

(1 - 1) - 2 x = 1 + 5

1 - 1 = 0:

-2 x = 5 + 1

5 + 1 = 6:

-2 x = 6

Divide both sides of - 2 x = 6 by - 2:

(-2 x) / (-2) = 6 / (-2)

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

x = 6 / (-2)

The gcd of 6 and - 2 is 2, so 6 / (-2) = (2*3) / (2 (-1)) = 2/2*3 / (-1) = 3 / (-1):

x = 3 / (-1)

Multiply numerator and denominator of 3 / (-1) by - 1:

Answer: x = - 3

-3

Step-by-step explanation:

2x-1=4x+5

-1=2x+5

-6=2x

x=-3