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 = 75
14x = 75

Divide each side by '14'.
x = 5.357142857

Simplifying
x = 5.357142857