36.4-0.3(x+0.3)=x+0.2(0.6x-3.55)

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Solution for 36.4-0.3(x+0.3)=x+0.2(0.6x-3.55) equation: 


Simplifying
36.4 + -0.3(x + 0.3) = x + 0.2(0.6x + -3.55)

Reorder the terms:
36.4 + -0.3(0.3 + x) = x + 0.2(0.6x + -3.55)
36.4 + (0.3 * -0.3 + x * -0.3) = x + 0.2(0.6x + -3.55)
36.4 + (-0.09 + -0.3x) = x + 0.2(0.6x + -3.55)

Combine like terms: 36.4 + -0.09 = 36.31
36.31 + -0.3x = x + 0.2(0.6x + -3.55)

Reorder the terms:
36.31 + -0.3x = x + 0.2(-3.55 + 0.6x)
36.31 + -0.3x = x + (-3.55 * 0.2 + 0.6x * 0.2)
36.31 + -0.3x = x + (-0.71 + 0.12x)

Reorder the terms:
36.31 + -0.3x = -0.71 + x + 0.12x

Combine like terms: x + 0.12x = 1.12x
36.31 + -0.3x = -0.71 + 1.12x

Solving
36.31 + -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.
36.31 + -0.3x + -1.12x = -0.71 + 1.12x + -1.12x

Combine like terms: -0.3x + -1.12x = -1.42x
36.31 + -1.42x = -0.71 + 1.12x + -1.12x

Combine like terms: 1.12x + -1.12x = 0.00
36.31 + -1.42x = -0.71 + 0.00
36.31 + -1.42x = -0.71

Add '-36.31' to each side of the equation.
36.31 + -36.31 + -1.42x = -0.71 + -36.31

Combine like terms: 36.31 + -36.31 = 0.00
0.00 + -1.42x = -0.71 + -36.31
-1.42x = -0.71 + -36.31

Combine like terms: -0.71 + -36.31 = -37.02
-1.42x = -37.02

Divide each side by '-1.42'.
x = 26.07042254

Simplifying
x = 26.07042254

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