6x-7[3(x+6)-(x-5)]-5=

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Solution for 6x-7[3(x+6)-(x-5)]-5= equation:


Simplifying
6x + -7[3(x + 6) + -1(x + -5)] + -5 = 0

Reorder the terms:
6x + -7[3(6 + x) + -1(x + -5)] + -5 = 0
6x + -7[(6 * 3 + x * 3) + -1(x + -5)] + -5 = 0
6x + -7[(18 + 3x) + -1(x + -5)] + -5 = 0

Reorder the terms:
6x + -7[18 + 3x + -1(-5 + x)] + -5 = 0
6x + -7[18 + 3x + (-5 * -1 + x * -1)] + -5 = 0
6x + -7[18 + 3x + (5 + -1x)] + -5 = 0

Reorder the terms:
6x + -7[18 + 5 + 3x + -1x] + -5 = 0

Combine like terms: 18 + 5 = 23
6x + -7[23 + 3x + -1x] + -5 = 0

Combine like terms: 3x + -1x = 2x
6x + -7[23 + 2x] + -5 = 0
6x + [23 * -7 + 2x * -7] + -5 = 0
6x + [-161 + -14x] + -5 = 0

Reorder the terms:
-161 + -5 + 6x + -14x = 0

Combine like terms: -161 + -5 = -166
-166 + 6x + -14x = 0

Combine like terms: 6x + -14x = -8x
-166 + -8x = 0

Solving
-166 + -8x = 0

Solving for variable 'x'.

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

Add '166' to each side of the equation.
-166 + 166 + -8x = 0 + 166

Combine like terms: -166 + 166 = 0
0 + -8x = 0 + 166
-8x = 0 + 166

Combine like terms: 0 + 166 = 166
-8x = 166

Divide each side by '-8'.
x = -20.75

Simplifying
x = -20.75

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