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

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


Simplifying
2(x + 8) = -9(x + -3)

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

Reorder the terms:
16 + 2x = -9(-3 + x)
16 + 2x = (-3 * -9 + x * -9)
16 + 2x = (27 + -9x)

Solving
16 + 2x = 27 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
16 + 2x + 9x = 27 + -9x + 9x

Combine like terms: 2x + 9x = 11x
16 + 11x = 27 + -9x + 9x

Combine like terms: -9x + 9x = 0
16 + 11x = 27 + 0
16 + 11x = 27

Add '-16' to each side of the equation.
16 + -16 + 11x = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 11x = 27 + -16
11x = 27 + -16

Combine like terms: 27 + -16 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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