(x+5)-2(4x-1)=0+2

Solution for (x+5)-2(4x-1)=0+2 equation:

Simplifying
(x + 5) + -2(4x + -1) = 0 + 2

Reorder the terms:
(5 + x) + -2(4x + -1) = 0 + 2

Remove parenthesis around (5 + x)
5 + x + -2(4x + -1) = 0 + 2

Reorder the terms:
5 + x + -2(-1 + 4x) = 0 + 2
5 + x + (-1 * -2 + 4x * -2) = 0 + 2
5 + x + (2 + -8x) = 0 + 2

Reorder the terms:
5 + 2 + x + -8x = 0 + 2

Combine like terms: 5 + 2 = 7
7 + x + -8x = 0 + 2

Combine like terms: x + -8x = -7x
7 + -7x = 0 + 2

Combine like terms: 0 + 2 = 2
7 + -7x = 2

Solving
7 + -7x = 2

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 + -7x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 2 + -7
-7x = 2 + -7

Combine like terms: 2 + -7 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143