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

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


Simplifying
-2(2x + -4) = 9(2 + -1x)

Reorder the terms:
-2(-4 + 2x) = 9(2 + -1x)
(-4 * -2 + 2x * -2) = 9(2 + -1x)
(8 + -4x) = 9(2 + -1x)
8 + -4x = (2 * 9 + -1x * 9)
8 + -4x = (18 + -9x)

Solving
8 + -4x = 18 + -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 + -4x + 9x = 18 + -9x + 9x

Combine like terms: -4x + 9x = 5x
8 + 5x = 18 + -9x + 9x

Combine like terms: -9x + 9x = 0
8 + 5x = 18 + 0
8 + 5x = 18

Add '-8' to each side of the equation.
8 + -8 + 5x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 18 + -8
5x = 18 + -8

Combine like terms: 18 + -8 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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