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

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


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

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

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

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

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

Reorder the terms:
-9 + -6x = 9 + -1(3 + 4x)
-9 + -6x = 9 + (3 * -1 + 4x * -1)
-9 + -6x = 9 + (-3 + -4x)

Combine like terms: 9 + -3 = 6
-9 + -6x = 6 + -4x

Solving
-9 + -6x = 6 + -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.
-9 + -6x + 4x = 6 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-9 + -2x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + -2x = 6 + 0
-9 + -2x = 6

Add '9' to each side of the equation.
-9 + 9 + -2x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 6 + 9
-2x = 6 + 9

Combine like terms: 6 + 9 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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