30(24-4.5x)=12(4x-7)+17.1

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Solution for 30(24-4.5x)=12(4x-7)+17.1 equation: 


Simplifying
30(24 + -4.5x) = 12(4x + -7) + 17.1
(24 * 30 + -4.5x * 30) = 12(4x + -7) + 17.1
(720 + -135x) = 12(4x + -7) + 17.1

Reorder the terms:
720 + -135x = 12(-7 + 4x) + 17.1
720 + -135x = (-7 * 12 + 4x * 12) + 17.1
720 + -135x = (-84 + 48x) + 17.1

Reorder the terms:
720 + -135x = -84 + 17.1 + 48x

Combine like terms: -84 + 17.1 = -66.9
720 + -135x = -66.9 + 48x

Solving
720 + -135x = -66.9 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
720 + -135x + -48x = -66.9 + 48x + -48x

Combine like terms: -135x + -48x = -183x
720 + -183x = -66.9 + 48x + -48x

Combine like terms: 48x + -48x = 0
720 + -183x = -66.9 + 0
720 + -183x = -66.9

Add '-720' to each side of the equation.
720 + -720 + -183x = -66.9 + -720

Combine like terms: 720 + -720 = 0
0 + -183x = -66.9 + -720
-183x = -66.9 + -720

Combine like terms: -66.9 + -720 = -786.9
-183x = -786.9

Divide each side by '-183'.
x = 4.3

Simplifying
x = 4.3

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