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

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


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

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

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

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

Combine like terms: 9x + 8x = 17x
-1[6 + 17x] = 7 + -1(7x + 9)
[6 * -1 + 17x * -1] = 7 + -1(7x + 9)
[-6 + -17x] = 7 + -1(7x + 9)

Reorder the terms:
-6 + -17x = 7 + -1(9 + 7x)
-6 + -17x = 7 + (9 * -1 + 7x * -1)
-6 + -17x = 7 + (-9 + -7x)

Combine like terms: 7 + -9 = -2
-6 + -17x = -2 + -7x

Solving
-6 + -17x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + -17x + 7x = -2 + -7x + 7x

Combine like terms: -17x + 7x = -10x
-6 + -10x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + -10x = -2 + 0
-6 + -10x = -2

Add '6' to each side of the equation.
-6 + 6 + -10x = -2 + 6

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

Combine like terms: -2 + 6 = 4
-10x = 4

Divide each side by '-10'.
x = -0.4

Simplifying
x = -0.4

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