1.2(3x+5)=2(2.4x-3.6)

Solution for 1.2(3x+5)=2(2.4x-3.6) equation:

Simplifying
1.2(3x + 5) = 2(2.4x + -3.6)

Reorder the terms:
1.2(5 + 3x) = 2(2.4x + -3.6)
(5 * 1.2 + 3x * 1.2) = 2(2.4x + -3.6)
(6 + 3.6x) = 2(2.4x + -3.6)

Reorder the terms:
6 + 3.6x = 2(-3.6 + 2.4x)
6 + 3.6x = (-3.6 * 2 + 2.4x * 2)
6 + 3.6x = (-7.2 + 4.8x)

Solving
6 + 3.6x = -7.2 + 4.8x

Solving for variable 'x'.

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

Add '-4.8x' to each side of the equation.
6 + 3.6x + -4.8x = -7.2 + 4.8x + -4.8x

Combine like terms: 3.6x + -4.8x = -1.2x
6 + -1.2x = -7.2 + 4.8x + -4.8x

Combine like terms: 4.8x + -4.8x = 0.0
6 + -1.2x = -7.2 + 0.0
6 + -1.2x = -7.2

Add '-6' to each side of the equation.
6 + -6 + -1.2x = -7.2 + -6

Combine like terms: 6 + -6 = 0
0 + -1.2x = -7.2 + -6
-1.2x = -7.2 + -6

Combine like terms: -7.2 + -6 = -13.2
-1.2x = -13.2

Divide each side by '-1.2'.
x = 11

Simplifying
x = 11