2(3-4x)=-36-27(x+2)

Solution for 2(3-4x)=-36-27(x+2) equation:

Simplifying
2(3 + -4x) = -36 + -27(x + 2)
(3 * 2 + -4x * 2) = -36 + -27(x + 2)
(6 + -8x) = -36 + -27(x + 2)

Reorder the terms:
6 + -8x = -36 + -27(2 + x)
6 + -8x = -36 + (2 * -27 + x * -27)
6 + -8x = -36 + (-54 + -27x)

Combine like terms: -36 + -54 = -90
6 + -8x = -90 + -27x

Solving
6 + -8x = -90 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
6 + -8x + 27x = -90 + -27x + 27x

Combine like terms: -8x + 27x = 19x
6 + 19x = -90 + -27x + 27x

Combine like terms: -27x + 27x = 0
6 + 19x = -90 + 0
6 + 19x = -90

Add '-6' to each side of the equation.
6 + -6 + 19x = -90 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = -90 + -6
19x = -90 + -6

Combine like terms: -90 + -6 = -96
19x = -96

Divide each side by '19'.
x = -5.052631579

Simplifying
x = -5.052631579