-[9x+(6x+3)]=5-(4x+6)

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Solution for -[9x+(6x+3)]=5-(4x+6) equation:


Simplifying
-1[9x + (6x + 3)] = 5 + -1(4x + 6)

Reorder the terms:
-1[9x + (3 + 6x)] = 5 + -1(4x + 6)

Remove parenthesis around (3 + 6x)
-1[9x + 3 + 6x] = 5 + -1(4x + 6)

Reorder the terms:
-1[3 + 9x + 6x] = 5 + -1(4x + 6)

Combine like terms: 9x + 6x = 15x
-1[3 + 15x] = 5 + -1(4x + 6)
[3 * -1 + 15x * -1] = 5 + -1(4x + 6)
[-3 + -15x] = 5 + -1(4x + 6)

Reorder the terms:
-3 + -15x = 5 + -1(6 + 4x)
-3 + -15x = 5 + (6 * -1 + 4x * -1)
-3 + -15x = 5 + (-6 + -4x)

Combine like terms: 5 + -6 = -1
-3 + -15x = -1 + -4x

Solving
-3 + -15x = -1 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-3 + -15x + 4x = -1 + -4x + 4x

Combine like terms: -15x + 4x = -11x
-3 + -11x = -1 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + -11x = -1 + 0
-3 + -11x = -1

Add '3' to each side of the equation.
-3 + 3 + -11x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + -11x = -1 + 3
-11x = -1 + 3

Combine like terms: -1 + 3 = 2
-11x = 2

Divide each side by '-11'.
x = -0.1818181818

Simplifying
x = -0.1818181818

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