6[5-(-4x-1)]=120x+60

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Solution for 6[5-(-4x-1)]=120x+60 equation:


Simplifying
6[5 + -1(-4x + -1)] = 120x + 60

Reorder the terms:
6[5 + -1(-1 + -4x)] = 120x + 60
6[5 + (-1 * -1 + -4x * -1)] = 120x + 60
6[5 + (1 + 4x)] = 120x + 60

Combine like terms: 5 + 1 = 6
6[6 + 4x] = 120x + 60
[6 * 6 + 4x * 6] = 120x + 60
[36 + 24x] = 120x + 60

Reorder the terms:
36 + 24x = 60 + 120x

Solving
36 + 24x = 60 + 120x

Solving for variable 'x'.

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

Add '-120x' to each side of the equation.
36 + 24x + -120x = 60 + 120x + -120x

Combine like terms: 24x + -120x = -96x
36 + -96x = 60 + 120x + -120x

Combine like terms: 120x + -120x = 0
36 + -96x = 60 + 0
36 + -96x = 60

Add '-36' to each side of the equation.
36 + -36 + -96x = 60 + -36

Combine like terms: 36 + -36 = 0
0 + -96x = 60 + -36
-96x = 60 + -36

Combine like terms: 60 + -36 = 24
-96x = 24

Divide each side by '-96'.
x = -0.25

Simplifying
x = -0.25

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