4.6(x-4)=-.4x+11.6

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Solution for 4.6(x-4)=-.4x+11.6 equation: 


Simplifying
4.6(x + -4) = -0.4x + 11.6

Reorder the terms:
4.6(-4 + x) = -0.4x + 11.6
(-4 * 4.6 + x * 4.6) = -0.4x + 11.6
(-18.4 + 4.6x) = -0.4x + 11.6

Reorder the terms:
-18.4 + 4.6x = 11.6 + -0.4x

Solving
-18.4 + 4.6x = 11.6 + -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 = 11.6 + -0.4x + 0.4x

Combine like terms: 4.6x + 0.4x = 5x
-18.4 + 5x = 11.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-18.4 + 5x = 11.6 + 0.0
-18.4 + 5x = 11.6

Add '18.4' to each side of the equation.
-18.4 + 18.4 + 5x = 11.6 + 18.4

Combine like terms: -18.4 + 18.4 = 0.0
0.0 + 5x = 11.6 + 18.4
5x = 11.6 + 18.4

Combine like terms: 11.6 + 18.4 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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