Could you please help me solve for x?

Question

(X – 4)/2 – 1/5 = (7x + 1)/20

Answer 1

10x - 40 - 4 = 7x + 1
3x = 45
x = 15

Answer 2

Clear fractions by multiplying all 3 by the LCD, 20. This cancels the 2 , 5, and 20 leaving

10(x-4) - 4(1) = (7x + 1)

10x - 40 - 4 = 7x + 1
10x - 44 = 7x + 1
3x = 45
x = 15

check: 11/2 - 1/5 = 136/20
55/10 - 2/10 = 53/10 = 126/20 check

Answer 3

(x – 4)/2 – 1/5 = (7x + 1)/20

LCD = 20

Multiply both sides by 20 to clear the fractions

10(x - 4) - 4(1) = (7x + 1

10x - 40 - 4 = 7x + 1

10x - 44 = 7x + 1

3x = 45

x = 15

Answer 4

10(x + -4) + -4(1) = (7x + 1)

Reorder the terms:
10(-4 + x) + -4(1) = (7x + 1)
(-4 * 10 + x * 10) + -4(1) = (7x + 1)
(-40 + 10x) + -4(1) = (7x + 1)

Multiply -4 * 1
-40 + 10x + -4 = (7x + 1)

Reorder the terms:
-40 + -4 + 10x = (7x + 1)

Combine like terms: -40 + -4 = -44
-44 + 10x = (7x + 1)

Reorder the terms:
-44 + 10x = (1 + 7x)

Remove parenthesis around (1 + 7x)
-44 + 10x = 1 + 7x

Solving
-44 + 10x = 1 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-44 + 10x + -7x = 1 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-44 + 3x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-44 + 3x = 1 + 0
-44 + 3x = 1

Add '44' to each side of the equation.
-44 + 44 + 3x = 1 + 44

Combine like terms: -44 + 44 = 0
0 + 3x = 1 + 44
3x = 1 + 44

Combine like terms: 1 + 44 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

Answer 5

(x - 4)/2 -1/5 = (7x + 1)/20
(x - 4)/2 - (7x+1)/20 = 1/5
(10x - 4)/20 - (7x + 1)/20 = 1/5
( 3x - 3)/ 20 = 1/5
3x -3 = 20/5
3x -3 = 4
3x = 4+3
3x = 7
x = 7/3

I hope this helps :)

Answer 6

Multiply all x 20
10X - 40 - 4 = 7X + 1
3X = 45
X = 15

Answer 7

x=15