39.37(4.17-14.7x)=0.6(x-2.4)

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Solution for 39.37(4.17-14.7x)=0.6(x-2.4) equation:


Simplifying
39.37(4.17 + -14.7x) = 0.6(x + -2.4)
(4.17 * 39.37 + -14.7x * 39.37) = 0.6(x + -2.4)
(164.1729 + -578.739x) = 0.6(x + -2.4)

Reorder the terms:
164.1729 + -578.739x = 0.6(-2.4 + x)
164.1729 + -578.739x = (-2.4 * 0.6 + x * 0.6)
164.1729 + -578.739x = (-1.44 + 0.6x)

Solving
164.1729 + -578.739x = -1.44 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
164.1729 + -578.739x + -0.6x = -1.44 + 0.6x + -0.6x

Combine like terms: -578.739x + -0.6x = -579.339x
164.1729 + -579.339x = -1.44 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
164.1729 + -579.339x = -1.44 + 0.0
164.1729 + -579.339x = -1.44

Add '-164.1729' to each side of the equation.
164.1729 + -164.1729 + -579.339x = -1.44 + -164.1729

Combine like terms: 164.1729 + -164.1729 = 0.0000
0.0000 + -579.339x = -1.44 + -164.1729
-579.339x = -1.44 + -164.1729

Combine like terms: -1.44 + -164.1729 = -165.6129
-579.339x = -165.6129

Divide each side by '-579.339'.
x = 0.2858652706

Simplifying
x = 0.2858652706

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