-[8x+(4x+5)]=7-(7x+7)

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Solution for -[8x+(4x+5)]=7-(7x+7) equation:


Simplifying
-1[8x + (4x + 5)] = 7 + -1(7x + 7)

Reorder the terms:
-1[8x + (5 + 4x)] = 7 + -1(7x + 7)

Remove parenthesis around (5 + 4x)
-1[8x + 5 + 4x] = 7 + -1(7x + 7)

Reorder the terms:
-1[5 + 8x + 4x] = 7 + -1(7x + 7)

Combine like terms: 8x + 4x = 12x
-1[5 + 12x] = 7 + -1(7x + 7)
[5 * -1 + 12x * -1] = 7 + -1(7x + 7)
[-5 + -12x] = 7 + -1(7x + 7)

Reorder the terms:
-5 + -12x = 7 + -1(7 + 7x)
-5 + -12x = 7 + (7 * -1 + 7x * -1)
-5 + -12x = 7 + (-7 + -7x)

Combine like terms: 7 + -7 = 0
-5 + -12x = 0 + -7x
-5 + -12x = -7x

Solving
-5 + -12x = -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.
-5 + -12x + 7x = -7x + 7x

Combine like terms: -12x + 7x = -5x
-5 + -5x = -7x + 7x

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

Add '5' to each side of the equation.
-5 + 5 + -5x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 0 + 5
-5x = 0 + 5

Combine like terms: 0 + 5 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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