4.3-(2.4x+5.5)=.5(-3.6x+1.2)

Solution for 4.3-(2.4x+5.5)=.5(-3.6x+1.2) equation:

Simplifying
4.3 + -1(2.4x + 5.5) = 0.5(-3.6x + 1.2)

Reorder the terms:
4.3 + -1(5.5 + 2.4x) = 0.5(-3.6x + 1.2)
4.3 + (5.5 * -1 + 2.4x * -1) = 0.5(-3.6x + 1.2)
4.3 + (-5.5 + -2.4x) = 0.5(-3.6x + 1.2)

Combine like terms: 4.3 + -5.5 = -1.2
-1.2 + -2.4x = 0.5(-3.6x + 1.2)

Reorder the terms:
-1.2 + -2.4x = 0.5(1.2 + -3.6x)
-1.2 + -2.4x = (1.2 * 0.5 + -3.6x * 0.5)
-1.2 + -2.4x = (0.6 + -1.8x)

Solving
-1.2 + -2.4x = 0.6 + -1.8x

Solving for variable 'x'.

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

Add '1.8x' to each side of the equation.
-1.2 + -2.4x + 1.8x = 0.6 + -1.8x + 1.8x

Combine like terms: -2.4x + 1.8x = -0.6x
-1.2 + -0.6x = 0.6 + -1.8x + 1.8x

Combine like terms: -1.8x + 1.8x = 0.0
-1.2 + -0.6x = 0.6 + 0.0
-1.2 + -0.6x = 0.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.6x = 0.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.6x = 0.6 + 1.2
-0.6x = 0.6 + 1.2

Combine like terms: 0.6 + 1.2 = 1.8
-0.6x = 1.8

Divide each side by '-0.6'.
x = -3

Simplifying
x = -3