-[8x+(7x+9)]=3-(2x+5)

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Solution for -[8x+(7x+9)]=3-(2x+5) equation:


Simplifying
-1[8x + (7x + 9)] = 3 + -1(2x + 5)

Reorder the terms:
-1[8x + (9 + 7x)] = 3 + -1(2x + 5)

Remove parenthesis around (9 + 7x)
-1[8x + 9 + 7x] = 3 + -1(2x + 5)

Reorder the terms:
-1[9 + 8x + 7x] = 3 + -1(2x + 5)

Combine like terms: 8x + 7x = 15x
-1[9 + 15x] = 3 + -1(2x + 5)
[9 * -1 + 15x * -1] = 3 + -1(2x + 5)
[-9 + -15x] = 3 + -1(2x + 5)

Reorder the terms:
-9 + -15x = 3 + -1(5 + 2x)
-9 + -15x = 3 + (5 * -1 + 2x * -1)
-9 + -15x = 3 + (-5 + -2x)

Combine like terms: 3 + -5 = -2
-9 + -15x = -2 + -2x

Solving
-9 + -15x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + -15x + 2x = -2 + -2x + 2x

Combine like terms: -15x + 2x = -13x
-9 + -13x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -13x = -2 + 0
-9 + -13x = -2

Add '9' to each side of the equation.
-9 + 9 + -13x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -13x = -2 + 9
-13x = -2 + 9

Combine like terms: -2 + 9 = 7
-13x = 7

Divide each side by '-13'.
x = -0.5384615385

Simplifying
x = -0.5384615385

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