4(5x+1)-11=x-(x+6)

Solution for 4(5x+1)-11=x-(x+6) equation:

Simplifying
4(5x + 1) + -11 = x + -1(x + 6)

Reorder the terms:
4(1 + 5x) + -11 = x + -1(x + 6)
(1 * 4 + 5x * 4) + -11 = x + -1(x + 6)
(4 + 20x) + -11 = x + -1(x + 6)

Reorder the terms:
4 + -11 + 20x = x + -1(x + 6)

Combine like terms: 4 + -11 = -7
-7 + 20x = x + -1(x + 6)

Reorder the terms:
-7 + 20x = x + -1(6 + x)
-7 + 20x = x + (6 * -1 + x * -1)
-7 + 20x = x + (-6 + -1x)

Reorder the terms:
-7 + 20x = -6 + x + -1x

Combine like terms: x + -1x = 0
-7 + 20x = -6 + 0
-7 + 20x = -6

Solving
-7 + 20x = -6

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 20x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 20x = -6 + 7
20x = -6 + 7

Combine like terms: -6 + 7 = 1
20x = 1

Divide each side by '20'.
x = 0.05

Simplifying
x = 0.05