5.6(x-4)=0.4x+25.6

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Solution for 5.6(x-4)=0.4x+25.6 equation: 


Simplifying
5.6(x + -4) = 0.4x + 25.6

Reorder the terms:
5.6(-4 + x) = 0.4x + 25.6
(-4 * 5.6 + x * 5.6) = 0.4x + 25.6
(-22.4 + 5.6x) = 0.4x + 25.6

Reorder the terms:
-22.4 + 5.6x = 25.6 + 0.4x

Solving
-22.4 + 5.6x = 25.6 + 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.
-22.4 + 5.6x + -0.4x = 25.6 + 0.4x + -0.4x

Combine like terms: 5.6x + -0.4x = 5.2x
-22.4 + 5.2x = 25.6 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-22.4 + 5.2x = 25.6 + 0.0
-22.4 + 5.2x = 25.6

Add '22.4' to each side of the equation.
-22.4 + 22.4 + 5.2x = 25.6 + 22.4

Combine like terms: -22.4 + 22.4 = 0.0
0.0 + 5.2x = 25.6 + 22.4
5.2x = 25.6 + 22.4

Combine like terms: 25.6 + 22.4 = 48
5.2x = 48

Divide each side by '5.2'.
x = 9.230769231

Simplifying
x = 9.230769231

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