5.7(x-2)=-0.3x+36.6

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Solution for 5.7(x-2)=-0.3x+36.6 equation: 


Simplifying
5.7(x + -2) = -0.3x + 36.6

Reorder the terms:
5.7(-2 + x) = -0.3x + 36.6
(-2 * 5.7 + x * 5.7) = -0.3x + 36.6
(-11.4 + 5.7x) = -0.3x + 36.6

Reorder the terms:
-11.4 + 5.7x = 36.6 + -0.3x

Solving
-11.4 + 5.7x = 36.6 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-11.4 + 5.7x + 0.3x = 36.6 + -0.3x + 0.3x

Combine like terms: 5.7x + 0.3x = 6x
-11.4 + 6x = 36.6 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-11.4 + 6x = 36.6 + 0.0
-11.4 + 6x = 36.6

Add '11.4' to each side of the equation.
-11.4 + 11.4 + 6x = 36.6 + 11.4

Combine like terms: -11.4 + 11.4 = 0.0
0.0 + 6x = 36.6 + 11.4
6x = 36.6 + 11.4

Combine like terms: 36.6 + 11.4 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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