5.8(x-1)=-0.2x+30.2

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Solution for 5.8(x-1)=-0.2x+30.2 equation: 


Simplifying
5.8(x + -1) = -0.2x + 30.2

Reorder the terms:
5.8(-1 + x) = -0.2x + 30.2
(-1 * 5.8 + x * 5.8) = -0.2x + 30.2
(-5.8 + 5.8x) = -0.2x + 30.2

Reorder the terms:
-5.8 + 5.8x = 30.2 + -0.2x

Solving
-5.8 + 5.8x = 30.2 + -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.
-5.8 + 5.8x + 0.2x = 30.2 + -0.2x + 0.2x

Combine like terms: 5.8x + 0.2x = 6x
-5.8 + 6x = 30.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-5.8 + 6x = 30.2 + 0.0
-5.8 + 6x = 30.2

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 6x = 30.2 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 6x = 30.2 + 5.8
6x = 30.2 + 5.8

Combine like terms: 30.2 + 5.8 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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