6[8-(-2x-7)]=36x+174

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Solution for 6[8-(-2x-7)]=36x+174 equation: 


Simplifying
6[8 + -1(-2x + -7)] = 36x + 174

Reorder the terms:
6[8 + -1(-7 + -2x)] = 36x + 174
6[8 + (-7 * -1 + -2x * -1)] = 36x + 174
6[8 + (7 + 2x)] = 36x + 174

Combine like terms: 8 + 7 = 15
6[15 + 2x] = 36x + 174
[15 * 6 + 2x * 6] = 36x + 174
[90 + 12x] = 36x + 174

Reorder the terms:
90 + 12x = 174 + 36x

Solving
90 + 12x = 174 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
90 + 12x + -36x = 174 + 36x + -36x

Combine like terms: 12x + -36x = -24x
90 + -24x = 174 + 36x + -36x

Combine like terms: 36x + -36x = 0
90 + -24x = 174 + 0
90 + -24x = 174

Add '-90' to each side of the equation.
90 + -90 + -24x = 174 + -90

Combine like terms: 90 + -90 = 0
0 + -24x = 174 + -90
-24x = 174 + -90

Combine like terms: 174 + -90 = 84
-24x = 84

Divide each side by '-24'.
x = -3.5

Simplifying
x = -3.5

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