5.8(x-2)=-0.2x+30.4

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Solution for 5.8(x-2)=-0.2x+30.4 equation: 


Simplifying
5.8(x + -2) = -0.2x + 30.4

Reorder the terms:
5.8(-2 + x) = -0.2x + 30.4
(-2 * 5.8 + x * 5.8) = -0.2x + 30.4
(-11.6 + 5.8x) = -0.2x + 30.4

Reorder the terms:
-11.6 + 5.8x = 30.4 + -0.2x

Solving
-11.6 + 5.8x = 30.4 + -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.
-11.6 + 5.8x + 0.2x = 30.4 + -0.2x + 0.2x

Combine like terms: 5.8x + 0.2x = 6x
-11.6 + 6x = 30.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-11.6 + 6x = 30.4 + 0.0
-11.6 + 6x = 30.4

Add '11.6' to each side of the equation.
-11.6 + 11.6 + 6x = 30.4 + 11.6

Combine like terms: -11.6 + 11.6 = 0.0
0.0 + 6x = 30.4 + 11.6
6x = 30.4 + 11.6

Combine like terms: 30.4 + 11.6 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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