how many solutions can be found for the equation −4x − 11 = 2(x − 3x) 13? none one two infinitely many

One x = 11/48

Step-by-step explanation:

Solve for x:

-4 x - 11 = 2×13 (x - 3 x)

x - 3 x = -2 x:

-4 x - 11 = 2×13×-2 x

2 (-2) = -4:

-4 x - 11 = -4×13 x

-4×13 = -52:

-4 x - 11 = -52 x

Add 52 x to both sides:

52 x - 4 x - 11 = 52 x - 52 x

52 x - 52 x = 0:

52 x - 4 x - 11 = 0

Grouping like terms, 52 x - 4 x - 11 = (-4 x + 52 x) - 11:

((-4 x + 52 x) - 11) = 0

52 x - 4 x = 48 x:

48 x - 11 = 0

Add 11 to both sides:

48 x + (11 - 11) = 11

11 - 11 = 0:

48 x = 11

Divide both sides of 48 x = 11 by 48:

(48 x)/48 = 11/48

48/48 = 1:

 x = 11/48

answer: 1, 3 and 5 are correct

step-by-step explanation: