6(x-4)=-0.4x+29.6

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Solution for 6(x-4)=-0.4x+29.6 equation: 


Simplifying
6(x + -4) = -0.4x + 29.6

Reorder the terms:
6(-4 + x) = -0.4x + 29.6
(-4 * 6 + x * 6) = -0.4x + 29.6
(-24 + 6x) = -0.4x + 29.6

Reorder the terms:
-24 + 6x = 29.6 + -0.4x

Solving
-24 + 6x = 29.6 + -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.
-24 + 6x + 0.4x = 29.6 + -0.4x + 0.4x

Combine like terms: 6x + 0.4x = 6.4x
-24 + 6.4x = 29.6 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-24 + 6.4x = 29.6 + 0.0
-24 + 6.4x = 29.6

Add '24' to each side of the equation.
-24 + 24 + 6.4x = 29.6 + 24

Combine like terms: -24 + 24 = 0
0 + 6.4x = 29.6 + 24
6.4x = 29.6 + 24

Combine like terms: 29.6 + 24 = 53.6
6.4x = 53.6

Divide each side by '6.4'.
x = 8.375

Simplifying
x = 8.375

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