3.64-0.3(x+0.3)=x+0.2(0.6-3.55)

Solution for 3.64-0.3(x+0.3)=x+0.2(0.6-3.55) equation:

Simplifying
3.64 + -0.3(x + 0.3) = x + 0.2(0.6 + -3.55)

Reorder the terms:
3.64 + -0.3(0.3 + x) = x + 0.2(0.6 + -3.55)
3.64 + (0.3 * -0.3 + x * -0.3) = x + 0.2(0.6 + -3.55)
3.64 + (-0.09 + -0.3x) = x + 0.2(0.6 + -3.55)

Combine like terms: 3.64 + -0.09 = 3.55
3.55 + -0.3x = x + 0.2(0.6 + -3.55)

Combine like terms: 0.6 + -3.55 = -2.95
3.55 + -0.3x = x + 0.2(-2.95)

Multiply 0.2 * -2.95
3.55 + -0.3x = x + -0.59

Reorder the terms:
3.55 + -0.3x = -0.59 + x

Solving
3.55 + -0.3x = -0.59 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.55 + -0.3x + -1x = -0.59 + x + -1x

Combine like terms: -0.3x + -1x = -1.3x
3.55 + -1.3x = -0.59 + x + -1x

Combine like terms: x + -1x = 0
3.55 + -1.3x = -0.59 + 0
3.55 + -1.3x = -0.59

Add '-3.55' to each side of the equation.
3.55 + -3.55 + -1.3x = -0.59 + -3.55

Combine like terms: 3.55 + -3.55 = 0.00
0.00 + -1.3x = -0.59 + -3.55
-1.3x = -0.59 + -3.55

Combine like terms: -0.59 + -3.55 = -4.14
-1.3x = -4.14

Divide each side by '-1.3'.
x = 3.184615385

Simplifying
x = 3.184615385