11.2(3x+3)=3(2x+5)

Solution for 11.2(3x+3)=3(2x+5) equation:

Simplifying
11.2(3x + 3) = 3(2x + 5)

Reorder the terms:
11.2(3 + 3x) = 3(2x + 5)
(3 * 11.2 + 3x * 11.2) = 3(2x + 5)
(33.6 + 33.6x) = 3(2x + 5)

Reorder the terms:
33.6 + 33.6x = 3(5 + 2x)
33.6 + 33.6x = (5 * 3 + 2x * 3)
33.6 + 33.6x = (15 + 6x)

Solving
33.6 + 33.6x = 15 + 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.
33.6 + 33.6x + -6x = 15 + 6x + -6x

Combine like terms: 33.6x + -6x = 27.6x
33.6 + 27.6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
33.6 + 27.6x = 15 + 0
33.6 + 27.6x = 15

Add '-33.6' to each side of the equation.
33.6 + -33.6 + 27.6x = 15 + -33.6

Combine like terms: 33.6 + -33.6 = 0.0
0.0 + 27.6x = 15 + -33.6
27.6x = 15 + -33.6

Combine like terms: 15 + -33.6 = -18.6
27.6x = -18.6

Divide each side by '27.6'.
x = -0.6739130435

Simplifying
x = -0.6739130435