6[9-(-8x-1)]=192x+78

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Solution for 6[9-(-8x-1)]=192x+78 equation:


Simplifying
6[9 + -1(-8x + -1)] = 192x + 78

Reorder the terms:
6[9 + -1(-1 + -8x)] = 192x + 78
6[9 + (-1 * -1 + -8x * -1)] = 192x + 78
6[9 + (1 + 8x)] = 192x + 78

Combine like terms: 9 + 1 = 10
6[10 + 8x] = 192x + 78
[10 * 6 + 8x * 6] = 192x + 78
[60 + 48x] = 192x + 78

Reorder the terms:
60 + 48x = 78 + 192x

Solving
60 + 48x = 78 + 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.
60 + 48x + -192x = 78 + 192x + -192x

Combine like terms: 48x + -192x = -144x
60 + -144x = 78 + 192x + -192x

Combine like terms: 192x + -192x = 0
60 + -144x = 78 + 0
60 + -144x = 78

Add '-60' to each side of the equation.
60 + -60 + -144x = 78 + -60

Combine like terms: 60 + -60 = 0
0 + -144x = 78 + -60
-144x = 78 + -60

Combine like terms: 78 + -60 = 18
-144x = 18

Divide each side by '-144'.
x = -0.125

Simplifying
x = -0.125

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