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

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

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

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

Reorder the terms:
6 + 6x + -4(-1 + 4x) = 5
6 + 6x + (-1 * -4 + 4x * -4) = 5
6 + 6x + (4 + -16x) = 5

Reorder the terms:
6 + 4 + 6x + -16x = 5

Combine like terms: 6 + 4 = 10
10 + 6x + -16x = 5

Combine like terms: 6x + -16x = -10x
10 + -10x = 5

Solving
10 + -10x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -10x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = 5 + -10
-10x = 5 + -10

Combine like terms: 5 + -10 = -5
-10x = -5

Divide each side by '-10'.
x = 0.5

Simplifying
x = 0.5