5.8(x-3)=-0.2x+18.6

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Solution for 5.8(x-3)=-0.2x+18.6 equation: 


Simplifying
5.8(x + -3) = -0.2x + 18.6

Reorder the terms:
5.8(-3 + x) = -0.2x + 18.6
(-3 * 5.8 + x * 5.8) = -0.2x + 18.6
(-17.4 + 5.8x) = -0.2x + 18.6

Reorder the terms:
-17.4 + 5.8x = 18.6 + -0.2x

Solving
-17.4 + 5.8x = 18.6 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-17.4 + 5.8x + 0.2x = 18.6 + -0.2x + 0.2x

Combine like terms: 5.8x + 0.2x = 6x
-17.4 + 6x = 18.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-17.4 + 6x = 18.6 + 0.0
-17.4 + 6x = 18.6

Add '17.4' to each side of the equation.
-17.4 + 17.4 + 6x = 18.6 + 17.4

Combine like terms: -17.4 + 17.4 = 0.0
0.0 + 6x = 18.6 + 17.4
6x = 18.6 + 17.4

Combine like terms: 18.6 + 17.4 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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