3x+[5x-(x+3)]=8x+(-5x-9)

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Solution for 3x+[5x-(x+3)]=8x+(-5x-9) equation:


Simplifying
3x + [5x + -1(x + 3)] = 8x + (-5x + -9)

Reorder the terms:
3x + [5x + -1(3 + x)] = 8x + (-5x + -9)
3x + [5x + (3 * -1 + x * -1)] = 8x + (-5x + -9)
3x + [5x + (-3 + -1x)] = 8x + (-5x + -9)

Reorder the terms:
3x + [-3 + 5x + -1x] = 8x + (-5x + -9)

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

Remove brackets around [-3 + 4x]
3x + -3 + 4x = 8x + (-5x + -9)

Reorder the terms:
-3 + 3x + 4x = 8x + (-5x + -9)

Combine like terms: 3x + 4x = 7x
-3 + 7x = 8x + (-5x + -9)

Reorder the terms:
-3 + 7x = 8x + (-9 + -5x)

Remove parenthesis around (-9 + -5x)
-3 + 7x = 8x + -9 + -5x

Reorder the terms:
-3 + 7x = -9 + 8x + -5x

Combine like terms: 8x + -5x = 3x
-3 + 7x = -9 + 3x

Solving
-3 + 7x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 7x + -3x = -9 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-3 + 4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 4x = -9 + 0
-3 + 4x = -9

Add '3' to each side of the equation.
-3 + 3 + 4x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -9 + 3
4x = -9 + 3

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

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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