5(7x+1)-11=x-(x+5)

Solution for 5(7x+1)-11=x-(x+5) equation:

Simplifying
5(7x + 1) + -11 = x + -1(x + 5)

Reorder the terms:
5(1 + 7x) + -11 = x + -1(x + 5)
(1 * 5 + 7x * 5) + -11 = x + -1(x + 5)
(5 + 35x) + -11 = x + -1(x + 5)

Reorder the terms:
5 + -11 + 35x = x + -1(x + 5)

Combine like terms: 5 + -11 = -6
-6 + 35x = x + -1(x + 5)

Reorder the terms:
-6 + 35x = x + -1(5 + x)
-6 + 35x = x + (5 * -1 + x * -1)
-6 + 35x = x + (-5 + -1x)

Reorder the terms:
-6 + 35x = -5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 35x = -5 + 0
-6 + 35x = -5

Solving
-6 + 35x = -5

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 35x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 35x = -5 + 6
35x = -5 + 6

Combine like terms: -5 + 6 = 1
35x = 1

Divide each side by '35'.
x = 0.02857142857

Simplifying
x = 0.02857142857