0.3(x+0.3)=x+0.2(0.6x-3.55)

Solution for 0.3(x+0.3)=x+0.2(0.6x-3.55) equation:

Simplifying
0.3(x + 0.3) = x + 0.2(0.6x + -3.55)

Reorder the terms:
0.3(0.3 + x) = x + 0.2(0.6x + -3.55)
(0.3 * 0.3 + x * 0.3) = x + 0.2(0.6x + -3.55)
(0.09 + 0.3x) = x + 0.2(0.6x + -3.55)

Reorder the terms:
0.09 + 0.3x = x + 0.2(-3.55 + 0.6x)
0.09 + 0.3x = x + (-3.55 * 0.2 + 0.6x * 0.2)
0.09 + 0.3x = x + (-0.71 + 0.12x)

Reorder the terms:
0.09 + 0.3x = -0.71 + x + 0.12x

Combine like terms: x + 0.12x = 1.12x
0.09 + 0.3x = -0.71 + 1.12x

Solving
0.09 + 0.3x = -0.71 + 1.12x

Solving for variable 'x'.

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

Add '-1.12x' to each side of the equation.
0.09 + 0.3x + -1.12x = -0.71 + 1.12x + -1.12x

Combine like terms: 0.3x + -1.12x = -0.82x
0.09 + -0.82x = -0.71 + 1.12x + -1.12x

Combine like terms: 1.12x + -1.12x = 0.00
0.09 + -0.82x = -0.71 + 0.00
0.09 + -0.82x = -0.71

Add '-0.09' to each side of the equation.
0.09 + -0.09 + -0.82x = -0.71 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + -0.82x = -0.71 + -0.09
-0.82x = -0.71 + -0.09

Combine like terms: -0.71 + -0.09 = -0.8
-0.82x = -0.8

Divide each side by '-0.82'.
x = 0.9756097561

Simplifying
x = 0.9756097561