6+5[1+2(2X-5)]=6(X-6)

Solution for 6+5[1+2(2X-5)]=6(X-6) equation:

Simplifying
6 + 5[1 + 2(2X + -5)] = 6(X + -6)

Reorder the terms:
6 + 5[1 + 2(-5 + 2X)] = 6(X + -6)
6 + 5[1 + (-5 * 2 + 2X * 2)] = 6(X + -6)
6 + 5[1 + (-10 + 4X)] = 6(X + -6)

Combine like terms: 1 + -10 = -9
6 + 5[-9 + 4X] = 6(X + -6)
6 + [-9 * 5 + 4X * 5] = 6(X + -6)
6 + [-45 + 20X] = 6(X + -6)

Combine like terms: 6 + -45 = -39
-39 + 20X = 6(X + -6)

Reorder the terms:
-39 + 20X = 6(-6 + X)
-39 + 20X = (-6 * 6 + X * 6)
-39 + 20X = (-36 + 6X)

Solving
-39 + 20X = -36 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
-39 + 20X + -6X = -36 + 6X + -6X

Combine like terms: 20X + -6X = 14X
-39 + 14X = -36 + 6X + -6X

Combine like terms: 6X + -6X = 0
-39 + 14X = -36 + 0
-39 + 14X = -36

Add '39' to each side of the equation.
-39 + 39 + 14X = -36 + 39

Combine like terms: -39 + 39 = 0
0 + 14X = -36 + 39
14X = -36 + 39

Combine like terms: -36 + 39 = 3
14X = 3

Divide each side by '14'.
X = 0.2142857143

Simplifying
X = 0.2142857143