5.7(x-3)=-0.3x+30.9

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Solution for 5.7(x-3)=-0.3x+30.9 equation: 


Simplifying
5.7(x + -3) = -0.3x + 30.9

Reorder the terms:
5.7(-3 + x) = -0.3x + 30.9
(-3 * 5.7 + x * 5.7) = -0.3x + 30.9
(-17.1 + 5.7x) = -0.3x + 30.9

Reorder the terms:
-17.1 + 5.7x = 30.9 + -0.3x

Solving
-17.1 + 5.7x = 30.9 + -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.
-17.1 + 5.7x + 0.3x = 30.9 + -0.3x + 0.3x

Combine like terms: 5.7x + 0.3x = 6x
-17.1 + 6x = 30.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-17.1 + 6x = 30.9 + 0.0
-17.1 + 6x = 30.9

Add '17.1' to each side of the equation.
-17.1 + 17.1 + 6x = 30.9 + 17.1

Combine like terms: -17.1 + 17.1 = 0.0
0.0 + 6x = 30.9 + 17.1
6x = 30.9 + 17.1

Combine like terms: 30.9 + 17.1 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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