-[9x+(5x+7)]=3-(5x+6)

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Solution for -[9x+(5x+7)]=3-(5x+6) equation:


Simplifying
-1[9x + (5x + 7)] = 3 + -1(5x + 6)

Reorder the terms:
-1[9x + (7 + 5x)] = 3 + -1(5x + 6)

Remove parenthesis around (7 + 5x)
-1[9x + 7 + 5x] = 3 + -1(5x + 6)

Reorder the terms:
-1[7 + 9x + 5x] = 3 + -1(5x + 6)

Combine like terms: 9x + 5x = 14x
-1[7 + 14x] = 3 + -1(5x + 6)
[7 * -1 + 14x * -1] = 3 + -1(5x + 6)
[-7 + -14x] = 3 + -1(5x + 6)

Reorder the terms:
-7 + -14x = 3 + -1(6 + 5x)
-7 + -14x = 3 + (6 * -1 + 5x * -1)
-7 + -14x = 3 + (-6 + -5x)

Combine like terms: 3 + -6 = -3
-7 + -14x = -3 + -5x

Solving
-7 + -14x = -3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-7 + -14x + 5x = -3 + -5x + 5x

Combine like terms: -14x + 5x = -9x
-7 + -9x = -3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + -9x = -3 + 0
-7 + -9x = -3

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

Combine like terms: -7 + 7 = 0
0 + -9x = -3 + 7
-9x = -3 + 7

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

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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