9(2x+8)=20-(x+3)-16

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Solution for 9(2x+8)=20-(x+3)-16 equation:


Simplifying
9(2x + 8) = 20 + -1(x + 3) + -16

Reorder the terms:
9(8 + 2x) = 20 + -1(x + 3) + -16
(8 * 9 + 2x * 9) = 20 + -1(x + 3) + -16
(72 + 18x) = 20 + -1(x + 3) + -16

Reorder the terms:
72 + 18x = 20 + -1(3 + x) + -16
72 + 18x = 20 + (3 * -1 + x * -1) + -16
72 + 18x = 20 + (-3 + -1x) + -16

Reorder the terms:
72 + 18x = 20 + -3 + -16 + -1x

Combine like terms: 20 + -3 = 17
72 + 18x = 17 + -16 + -1x

Combine like terms: 17 + -16 = 1
72 + 18x = 1 + -1x

Solving
72 + 18x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
72 + 18x + x = 1 + -1x + x

Combine like terms: 18x + x = 19x
72 + 19x = 1 + -1x + x

Combine like terms: -1x + x = 0
72 + 19x = 1 + 0
72 + 19x = 1

Add '-72' to each side of the equation.
72 + -72 + 19x = 1 + -72

Combine like terms: 72 + -72 = 0
0 + 19x = 1 + -72
19x = 1 + -72

Combine like terms: 1 + -72 = -71
19x = -71

Divide each side by '19'.
x = -3.736842105

Simplifying
x = -3.736842105

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