4.6(x-4)=0.4x+21.6

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Solution for 4.6(x-4)=0.4x+21.6 equation: 


Simplifying
4.6(x + -4) = 0.4x + 21.6

Reorder the terms:
4.6(-4 + x) = 0.4x + 21.6
(-4 * 4.6 + x * 4.6) = 0.4x + 21.6
(-18.4 + 4.6x) = 0.4x + 21.6

Reorder the terms:
-18.4 + 4.6x = 21.6 + 0.4x

Solving
-18.4 + 4.6x = 21.6 + 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.
-18.4 + 4.6x + -0.4x = 21.6 + 0.4x + -0.4x

Combine like terms: 4.6x + -0.4x = 4.2x
-18.4 + 4.2x = 21.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-18.4 + 4.2x = 21.6 + 0.0
-18.4 + 4.2x = 21.6

Add '18.4' to each side of the equation.
-18.4 + 18.4 + 4.2x = 21.6 + 18.4

Combine like terms: -18.4 + 18.4 = 0.0
0.0 + 4.2x = 21.6 + 18.4
4.2x = 21.6 + 18.4

Combine like terms: 21.6 + 18.4 = 40
4.2x = 40

Divide each side by '4.2'.
x = 9.523809524

Simplifying
x = 9.523809524

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