2(x-4)=9(x+8)

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Solution for 2(x-4)=9(x+8) equation:


Simplifying
2(x + -4) = 9(x + 8)

Reorder the terms:
2(-4 + x) = 9(x + 8)
(-4 * 2 + x * 2) = 9(x + 8)
(-8 + 2x) = 9(x + 8)

Reorder the terms:
-8 + 2x = 9(8 + x)
-8 + 2x = (8 * 9 + x * 9)
-8 + 2x = (72 + 9x)

Solving
-8 + 2x = 72 + 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.
-8 + 2x + -9x = 72 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-8 + -7x = 72 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -7x = 72 + 0
-8 + -7x = 72

Add '8' to each side of the equation.
-8 + 8 + -7x = 72 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 72 + 8
-7x = 72 + 8

Combine like terms: 72 + 8 = 80
-7x = 80

Divide each side by '-7'.
x = -11.42857143

Simplifying
x = -11.42857143

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