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

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Solution for -[4x+(4x+1)]=9-(6x+5) equation:


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

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

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

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

Combine like terms: 4x + 4x = 8x
-1[1 + 8x] = 9 + -1(6x + 5)
[1 * -1 + 8x * -1] = 9 + -1(6x + 5)
[-1 + -8x] = 9 + -1(6x + 5)

Reorder the terms:
-1 + -8x = 9 + -1(5 + 6x)
-1 + -8x = 9 + (5 * -1 + 6x * -1)
-1 + -8x = 9 + (-5 + -6x)

Combine like terms: 9 + -5 = 4
-1 + -8x = 4 + -6x

Solving
-1 + -8x = 4 + -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.
-1 + -8x + 6x = 4 + -6x + 6x

Combine like terms: -8x + 6x = -2x
-1 + -2x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-1 + -2x = 4 + 0
-1 + -2x = 4

Add '1' to each side of the equation.
-1 + 1 + -2x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 4 + 1
-2x = 4 + 1

Combine like terms: 4 + 1 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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