-[4x+(4x+6)]=2-(6x+9)

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Solution for -[4x+(4x+6)]=2-(6x+9) equation:


Simplifying
-1[4x + (4x + 6)] = 2 + -1(6x + 9)

Reorder the terms:
-1[4x + (6 + 4x)] = 2 + -1(6x + 9)

Remove parenthesis around (6 + 4x)
-1[4x + 6 + 4x] = 2 + -1(6x + 9)

Reorder the terms:
-1[6 + 4x + 4x] = 2 + -1(6x + 9)

Combine like terms: 4x + 4x = 8x
-1[6 + 8x] = 2 + -1(6x + 9)
[6 * -1 + 8x * -1] = 2 + -1(6x + 9)
[-6 + -8x] = 2 + -1(6x + 9)

Reorder the terms:
-6 + -8x = 2 + -1(9 + 6x)
-6 + -8x = 2 + (9 * -1 + 6x * -1)
-6 + -8x = 2 + (-9 + -6x)

Combine like terms: 2 + -9 = -7
-6 + -8x = -7 + -6x

Solving
-6 + -8x = -7 + -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.
-6 + -8x + 6x = -7 + -6x + 6x

Combine like terms: -8x + 6x = -2x
-6 + -2x = -7 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + -2x = -7 + 0
-6 + -2x = -7

Add '6' to each side of the equation.
-6 + 6 + -2x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -7 + 6
-2x = -7 + 6

Combine like terms: -7 + 6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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