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

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


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

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

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

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

Combine like terms: 5x + 5x = 10x
-1[8 + 10x] = 9 + -1(3x + 3)
[8 * -1 + 10x * -1] = 9 + -1(3x + 3)
[-8 + -10x] = 9 + -1(3x + 3)

Reorder the terms:
-8 + -10x = 9 + -1(3 + 3x)
-8 + -10x = 9 + (3 * -1 + 3x * -1)
-8 + -10x = 9 + (-3 + -3x)

Combine like terms: 9 + -3 = 6
-8 + -10x = 6 + -3x

Solving
-8 + -10x = 6 + -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.
-8 + -10x + 3x = 6 + -3x + 3x

Combine like terms: -10x + 3x = -7x
-8 + -7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + -7x = 6 + 0
-8 + -7x = 6

Add '8' to each side of the equation.
-8 + 8 + -7x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 6 + 8
-7x = 6 + 8

Combine like terms: 6 + 8 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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