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

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


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

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

Remove parenthesis around (-9 + -5x)
8x + -9 + -5x = 3x + [-5x + -1(x + 3)]

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

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

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

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

Combine like terms: -5x + -1x = -6x
-9 + 3x = 3x + [-3 + -6x]

Remove brackets around [-3 + -6x]
-9 + 3x = 3x + -3 + -6x

Reorder the terms:
-9 + 3x = -3 + 3x + -6x

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

Solving
-9 + 3x = -3 + -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.
-9 + 3x + 3x = -3 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-9 + 6x = -3 + 0
-9 + 6x = -3

Add '9' to each side of the equation.
-9 + 9 + 6x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = -3 + 9
6x = -3 + 9

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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