-[7x+(9x+8)]=3-(7x+7)

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Solution for -[7x+(9x+8)]=3-(7x+7) equation:


Simplifying
-1[7x + (9x + 8)] = 3 + -1(7x + 7)

Reorder the terms:
-1[7x + (8 + 9x)] = 3 + -1(7x + 7)

Remove parenthesis around (8 + 9x)
-1[7x + 8 + 9x] = 3 + -1(7x + 7)

Reorder the terms:
-1[8 + 7x + 9x] = 3 + -1(7x + 7)

Combine like terms: 7x + 9x = 16x
-1[8 + 16x] = 3 + -1(7x + 7)
[8 * -1 + 16x * -1] = 3 + -1(7x + 7)
[-8 + -16x] = 3 + -1(7x + 7)

Reorder the terms:
-8 + -16x = 3 + -1(7 + 7x)
-8 + -16x = 3 + (7 * -1 + 7x * -1)
-8 + -16x = 3 + (-7 + -7x)

Combine like terms: 3 + -7 = -4
-8 + -16x = -4 + -7x

Solving
-8 + -16x = -4 + -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.
-8 + -16x + 7x = -4 + -7x + 7x

Combine like terms: -16x + 7x = -9x
-8 + -9x = -4 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + -9x = -4 + 0
-8 + -9x = -4

Add '8' to each side of the equation.
-8 + 8 + -9x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -9x = -4 + 8
-9x = -4 + 8

Combine like terms: -4 + 8 = 4
-9x = 4

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

Simplifying
x = -0.4444444444

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