2(x-2)-8x+3=5

Solution for 2(x-2)-8x+3=5 equation:

Simplifying
2(x + -2) + -8x + 3 = 5

Reorder the terms:
2(-2 + x) + -8x + 3 = 5
(-2 * 2 + x * 2) + -8x + 3 = 5
(-4 + 2x) + -8x + 3 = 5

Reorder the terms:
-4 + 3 + 2x + -8x = 5

Combine like terms: -4 + 3 = -1
-1 + 2x + -8x = 5

Combine like terms: 2x + -8x = -6x
-1 + -6x = 5

Solving
-1 + -6x = 5

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -6x = 5 + 1

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1