16-[4x-(-5)-8]=-5[2x-(-7)-5]-9

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Solution for 16-[4x-(-5)-8]=-5[2x-(-7)-5]-9 equation:


Simplifying
16 + -1[4x + -1(-5) + -8] = -5[2x + -1(-7) + -5] + -9

Multiply -1 * -5
16 + -1[4x + 5 + -8] = -5[2x + -1(-7) + -5] + -9

Reorder the terms:
16 + -1[5 + -8 + 4x] = -5[2x + -1(-7) + -5] + -9

Combine like terms: 5 + -8 = -3
16 + -1[-3 + 4x] = -5[2x + -1(-7) + -5] + -9
16 + [-3 * -1 + 4x * -1] = -5[2x + -1(-7) + -5] + -9
16 + [3 + -4x] = -5[2x + -1(-7) + -5] + -9

Combine like terms: 16 + 3 = 19
19 + -4x = -5[2x + -1(-7) + -5] + -9

Multiply -1 * -7
19 + -4x = -5[2x + 7 + -5] + -9

Reorder the terms:
19 + -4x = -5[7 + -5 + 2x] + -9

Combine like terms: 7 + -5 = 2
19 + -4x = -5[2 + 2x] + -9
19 + -4x = [2 * -5 + 2x * -5] + -9
19 + -4x = [-10 + -10x] + -9

Reorder the terms:
19 + -4x = -10 + -9 + -10x

Combine like terms: -10 + -9 = -19
19 + -4x = -19 + -10x

Solving
19 + -4x = -19 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
19 + -4x + 10x = -19 + -10x + 10x

Combine like terms: -4x + 10x = 6x
19 + 6x = -19 + -10x + 10x

Combine like terms: -10x + 10x = 0
19 + 6x = -19 + 0
19 + 6x = -19

Add '-19' to each side of the equation.
19 + -19 + 6x = -19 + -19

Combine like terms: 19 + -19 = 0
0 + 6x = -19 + -19
6x = -19 + -19

Combine like terms: -19 + -19 = -38
6x = -38

Divide each side by '6'.
x = -6.333333333

Simplifying
x = -6.333333333

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