4(2x-1)-2(x-3)=5

Solution for 4(2x-1)-2(x-3)=5 equation:

Simplifying
4(2x + -1) + -2(x + -3) = 5

Reorder the terms:
4(-1 + 2x) + -2(x + -3) = 5
(-1 * 4 + 2x * 4) + -2(x + -3) = 5
(-4 + 8x) + -2(x + -3) = 5

Reorder the terms:
-4 + 8x + -2(-3 + x) = 5
-4 + 8x + (-3 * -2 + x * -2) = 5
-4 + 8x + (6 + -2x) = 5

Reorder the terms:
-4 + 6 + 8x + -2x = 5

Combine like terms: -4 + 6 = 2
2 + 8x + -2x = 5

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

Solving
2 + 6x = 5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 6x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 5 + -2
6x = 5 + -2

Combine like terms: 5 + -2 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5