4.6(x-2)=-0.4x+30.8

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Solution for 4.6(x-2)=-0.4x+30.8 equation: 


Simplifying
4.6(x + -2) = -0.4x + 30.8

Reorder the terms:
4.6(-2 + x) = -0.4x + 30.8
(-2 * 4.6 + x * 4.6) = -0.4x + 30.8
(-9.2 + 4.6x) = -0.4x + 30.8

Reorder the terms:
-9.2 + 4.6x = 30.8 + -0.4x

Solving
-9.2 + 4.6x = 30.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-9.2 + 4.6x + 0.4x = 30.8 + -0.4x + 0.4x

Combine like terms: 4.6x + 0.4x = 5x
-9.2 + 5x = 30.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-9.2 + 5x = 30.8 + 0.0
-9.2 + 5x = 30.8

Add '9.2' to each side of the equation.
-9.2 + 9.2 + 5x = 30.8 + 9.2

Combine like terms: -9.2 + 9.2 = 0.0
0.0 + 5x = 30.8 + 9.2
5x = 30.8 + 9.2

Combine like terms: 30.8 + 9.2 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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