0.333(x-5)=4(3x-8)

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Solution for 0.333(x-5)=4(3x-8) equation: 


Simplifying
0.333(x + -5) = 4(3x + -8)

Reorder the terms:
0.333(-5 + x) = 4(3x + -8)
(-5 * 0.333 + x * 0.333) = 4(3x + -8)
(-1.665 + 0.333x) = 4(3x + -8)

Reorder the terms:
-1.665 + 0.333x = 4(-8 + 3x)
-1.665 + 0.333x = (-8 * 4 + 3x * 4)
-1.665 + 0.333x = (-32 + 12x)

Solving
-1.665 + 0.333x = -32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1.665 + 0.333x + -12x = -32 + 12x + -12x

Combine like terms: 0.333x + -12x = -11.667x
-1.665 + -11.667x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1.665 + -11.667x = -32 + 0
-1.665 + -11.667x = -32

Add '1.665' to each side of the equation.
-1.665 + 1.665 + -11.667x = -32 + 1.665

Combine like terms: -1.665 + 1.665 = 0.000
0.000 + -11.667x = -32 + 1.665
-11.667x = -32 + 1.665

Combine like terms: -32 + 1.665 = -30.335
-11.667x = -30.335

Divide each side by '-11.667'.
x = 2.600068569

Simplifying
x = 2.600068569

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