9(3x+8)=10-(x+8)

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Solution for 9(3x+8)=10-(x+8) equation:


Simplifying
9(3x + 8) = 10 + -1(x + 8)

Reorder the terms:
9(8 + 3x) = 10 + -1(x + 8)
(8 * 9 + 3x * 9) = 10 + -1(x + 8)
(72 + 27x) = 10 + -1(x + 8)

Reorder the terms:
72 + 27x = 10 + -1(8 + x)
72 + 27x = 10 + (8 * -1 + x * -1)
72 + 27x = 10 + (-8 + -1x)

Combine like terms: 10 + -8 = 2
72 + 27x = 2 + -1x

Solving
72 + 27x = 2 + -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 + 27x + x = 2 + -1x + x

Combine like terms: 27x + x = 28x
72 + 28x = 2 + -1x + x

Combine like terms: -1x + x = 0
72 + 28x = 2 + 0
72 + 28x = 2

Add '-72' to each side of the equation.
72 + -72 + 28x = 2 + -72

Combine like terms: 72 + -72 = 0
0 + 28x = 2 + -72
28x = 2 + -72

Combine like terms: 2 + -72 = -70
28x = -70

Divide each side by '28'.
x = -2.5

Simplifying
x = -2.5

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