-[3x-(8x+9)]=9+(4x+3)

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Solution for -[3x-(8x+9)]=9+(4x+3) equation:


Simplifying
-1[3x + -1(8x + 9)] = 9 + (4x + 3)

Reorder the terms:
-1[3x + -1(9 + 8x)] = 9 + (4x + 3)
-1[3x + (9 * -1 + 8x * -1)] = 9 + (4x + 3)
-1[3x + (-9 + -8x)] = 9 + (4x + 3)

Reorder the terms:
-1[-9 + 3x + -8x] = 9 + (4x + 3)

Combine like terms: 3x + -8x = -5x
-1[-9 + -5x] = 9 + (4x + 3)
[-9 * -1 + -5x * -1] = 9 + (4x + 3)
[9 + 5x] = 9 + (4x + 3)

Reorder the terms:
9 + 5x = 9 + (3 + 4x)

Remove parenthesis around (3 + 4x)
9 + 5x = 9 + 3 + 4x

Combine like terms: 9 + 3 = 12
9 + 5x = 12 + 4x

Solving
9 + 5x = 12 + 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 + 5x + -4x = 12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
9 + 1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 1x = 12 + 0
9 + 1x = 12

Add '-9' to each side of the equation.
9 + -9 + 1x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 12 + -9
1x = 12 + -9

Combine like terms: 12 + -9 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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