6.6(x-4)=-0.4x+22.6

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Solution for 6.6(x-4)=-0.4x+22.6 equation: 


Simplifying
6.6(x + -4) = -0.4x + 22.6

Reorder the terms:
6.6(-4 + x) = -0.4x + 22.6
(-4 * 6.6 + x * 6.6) = -0.4x + 22.6
(-26.4 + 6.6x) = -0.4x + 22.6

Reorder the terms:
-26.4 + 6.6x = 22.6 + -0.4x

Solving
-26.4 + 6.6x = 22.6 + -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.
-26.4 + 6.6x + 0.4x = 22.6 + -0.4x + 0.4x

Combine like terms: 6.6x + 0.4x = 7x
-26.4 + 7x = 22.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-26.4 + 7x = 22.6 + 0.0
-26.4 + 7x = 22.6

Add '26.4' to each side of the equation.
-26.4 + 26.4 + 7x = 22.6 + 26.4

Combine like terms: -26.4 + 26.4 = 0.0
0.0 + 7x = 22.6 + 26.4
7x = 22.6 + 26.4

Combine like terms: 22.6 + 26.4 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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