-[7x+(9x+8)]=7-(6x+9)

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Solution for -[7x+(9x+8)]=7-(6x+9) equation:


Simplifying
-1[7x + (9x + 8)] = 7 + -1(6x + 9)

Reorder the terms:
-1[7x + (8 + 9x)] = 7 + -1(6x + 9)

Remove parenthesis around (8 + 9x)
-1[7x + 8 + 9x] = 7 + -1(6x + 9)

Reorder the terms:
-1[8 + 7x + 9x] = 7 + -1(6x + 9)

Combine like terms: 7x + 9x = 16x
-1[8 + 16x] = 7 + -1(6x + 9)
[8 * -1 + 16x * -1] = 7 + -1(6x + 9)
[-8 + -16x] = 7 + -1(6x + 9)

Reorder the terms:
-8 + -16x = 7 + -1(9 + 6x)
-8 + -16x = 7 + (9 * -1 + 6x * -1)
-8 + -16x = 7 + (-9 + -6x)

Combine like terms: 7 + -9 = -2
-8 + -16x = -2 + -6x

Solving
-8 + -16x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + -16x + 6x = -2 + -6x + 6x

Combine like terms: -16x + 6x = -10x
-8 + -10x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + -10x = -2 + 0
-8 + -10x = -2

Add '8' to each side of the equation.
-8 + 8 + -10x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -10x = -2 + 8
-10x = -2 + 8

Combine like terms: -2 + 8 = 6
-10x = 6

Divide each side by '-10'.
x = -0.6

Simplifying
x = -0.6

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