-[8x+(3x+9)]=9-(4x+7)

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Solution for -[8x+(3x+9)]=9-(4x+7) equation:


Simplifying
-1[8x + (3x + 9)] = 9 + -1(4x + 7)

Reorder the terms:
-1[8x + (9 + 3x)] = 9 + -1(4x + 7)

Remove parenthesis around (9 + 3x)
-1[8x + 9 + 3x] = 9 + -1(4x + 7)

Reorder the terms:
-1[9 + 8x + 3x] = 9 + -1(4x + 7)

Combine like terms: 8x + 3x = 11x
-1[9 + 11x] = 9 + -1(4x + 7)
[9 * -1 + 11x * -1] = 9 + -1(4x + 7)
[-9 + -11x] = 9 + -1(4x + 7)

Reorder the terms:
-9 + -11x = 9 + -1(7 + 4x)
-9 + -11x = 9 + (7 * -1 + 4x * -1)
-9 + -11x = 9 + (-7 + -4x)

Combine like terms: 9 + -7 = 2
-9 + -11x = 2 + -4x

Solving
-9 + -11x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + -11x + 4x = 2 + -4x + 4x

Combine like terms: -11x + 4x = -7x
-9 + -7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + -7x = 2 + 0
-9 + -7x = 2

Add '9' to each side of the equation.
-9 + 9 + -7x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = 2 + 9
-7x = 2 + 9

Combine like terms: 2 + 9 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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