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

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Solution for 6[-3x-6-5(x+1)]=6x+5 equation:


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

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

Reorder the terms:
6[-6 + -5 + -3x + -5x] = 6x + 5

Combine like terms: -6 + -5 = -11
6[-11 + -3x + -5x] = 6x + 5

Combine like terms: -3x + -5x = -8x
6[-11 + -8x] = 6x + 5
[-11 * 6 + -8x * 6] = 6x + 5
[-66 + -48x] = 6x + 5

Reorder the terms:
-66 + -48x = 5 + 6x

Solving
-66 + -48x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-66 + -48x + -6x = 5 + 6x + -6x

Combine like terms: -48x + -6x = -54x
-66 + -54x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-66 + -54x = 5 + 0
-66 + -54x = 5

Add '66' to each side of the equation.
-66 + 66 + -54x = 5 + 66

Combine like terms: -66 + 66 = 0
0 + -54x = 5 + 66
-54x = 5 + 66

Combine like terms: 5 + 66 = 71
-54x = 71

Divide each side by '-54'.
x = -1.314814815

Simplifying
x = -1.314814815

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