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

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


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

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

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

Combine like terms: 8 + 5 = 13
-1[13 + 4x] = 7 + -1(7x + 7)
[13 * -1 + 4x * -1] = 7 + -1(7x + 7)
[-13 + -4x] = 7 + -1(7x + 7)

Reorder the terms:
-13 + -4x = 7 + -1(7 + 7x)
-13 + -4x = 7 + (7 * -1 + 7x * -1)
-13 + -4x = 7 + (-7 + -7x)

Combine like terms: 7 + -7 = 0
-13 + -4x = 0 + -7x
-13 + -4x = -7x

Solving
-13 + -4x = -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.
-13 + -4x + 7x = -7x + 7x

Combine like terms: -4x + 7x = 3x
-13 + 3x = -7x + 7x

Combine like terms: -7x + 7x = 0
-13 + 3x = 0

Add '13' to each side of the equation.
-13 + 13 + 3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 0 + 13
3x = 0 + 13

Combine like terms: 0 + 13 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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