5(12x+24)=8(24x+12)+2

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Solution for 5(12x+24)=8(24x+12)+2 equation: 


Simplifying
5(12x + 24) = 8(24x + 12) + 2

Reorder the terms:
5(24 + 12x) = 8(24x + 12) + 2
(24 * 5 + 12x * 5) = 8(24x + 12) + 2
(120 + 60x) = 8(24x + 12) + 2

Reorder the terms:
120 + 60x = 8(12 + 24x) + 2
120 + 60x = (12 * 8 + 24x * 8) + 2
120 + 60x = (96 + 192x) + 2

Reorder the terms:
120 + 60x = 96 + 2 + 192x

Combine like terms: 96 + 2 = 98
120 + 60x = 98 + 192x

Solving
120 + 60x = 98 + 192x

Solving for variable 'x'.

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

Add '-192x' to each side of the equation.
120 + 60x + -192x = 98 + 192x + -192x

Combine like terms: 60x + -192x = -132x
120 + -132x = 98 + 192x + -192x

Combine like terms: 192x + -192x = 0
120 + -132x = 98 + 0
120 + -132x = 98

Add '-120' to each side of the equation.
120 + -120 + -132x = 98 + -120

Combine like terms: 120 + -120 = 0
0 + -132x = 98 + -120
-132x = 98 + -120

Combine like terms: 98 + -120 = -22
-132x = -22

Divide each side by '-132'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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