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

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

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

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

Combine like terms: 5 + 1 = 6
6 + -4x = 2(x + 1)

Reorder the terms:
6 + -4x = 2(1 + x)
6 + -4x = (1 * 2 + x * 2)
6 + -4x = (2 + 2x)

Solving
6 + -4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -4x + -2x = 2 + 2x + -2x

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

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

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

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

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

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667