6x-8=3(18x+24)

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Solution for 6x-8=3(18x+24) equation:


Simplifying
6x + -8 = 3(18x + 24)

Reorder the terms:
-8 + 6x = 3(18x + 24)

Reorder the terms:
-8 + 6x = 3(24 + 18x)
-8 + 6x = (24 * 3 + 18x * 3)
-8 + 6x = (72 + 54x)

Solving
-8 + 6x = 72 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
-8 + 6x + -54x = 72 + 54x + -54x

Combine like terms: 6x + -54x = -48x
-8 + -48x = 72 + 54x + -54x

Combine like terms: 54x + -54x = 0
-8 + -48x = 72 + 0
-8 + -48x = 72

Add '8' to each side of the equation.
-8 + 8 + -48x = 72 + 8

Combine like terms: -8 + 8 = 0
0 + -48x = 72 + 8
-48x = 72 + 8

Combine like terms: 72 + 8 = 80
-48x = 80

Divide each side by '-48'.
x = -1.666666667

Simplifying
x = -1.666666667

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