24(x-6)=-5.6x+8

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Solution for 24(x-6)=-5.6x+8 equation: 


Simplifying
24(x + -6) = -5.6x + 8

Reorder the terms:
24(-6 + x) = -5.6x + 8
(-6 * 24 + x * 24) = -5.6x + 8
(-144 + 24x) = -5.6x + 8

Reorder the terms:
-144 + 24x = 8 + -5.6x

Solving
-144 + 24x = 8 + -5.6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5.6x' to each side of the equation.
-144 + 24x + 5.6x = 8 + -5.6x + 5.6x

Combine like terms: 24x + 5.6x = 29.6x
-144 + 29.6x = 8 + -5.6x + 5.6x

Combine like terms: -5.6x + 5.6x = 0.0
-144 + 29.6x = 8 + 0.0
-144 + 29.6x = 8

Add '144' to each side of the equation.
-144 + 144 + 29.6x = 8 + 144

Combine like terms: -144 + 144 = 0
0 + 29.6x = 8 + 144
29.6x = 8 + 144

Combine like terms: 8 + 144 = 152
29.6x = 152

Divide each side by '29.6'.
x = 5.135135135

Simplifying
x = 5.135135135

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