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

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


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

Reorder the terms:
2x + -9(-4 + x) = 2(9 + -2x) + 2
2x + (-4 * -9 + x * -9) = 2(9 + -2x) + 2
2x + (36 + -9x) = 2(9 + -2x) + 2

Reorder the terms:
36 + 2x + -9x = 2(9 + -2x) + 2

Combine like terms: 2x + -9x = -7x
36 + -7x = 2(9 + -2x) + 2
36 + -7x = (9 * 2 + -2x * 2) + 2
36 + -7x = (18 + -4x) + 2

Reorder the terms:
36 + -7x = 18 + 2 + -4x

Combine like terms: 18 + 2 = 20
36 + -7x = 20 + -4x

Solving
36 + -7x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
36 + -7x + 4x = 20 + -4x + 4x

Combine like terms: -7x + 4x = -3x
36 + -3x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + -3x = 20 + 0
36 + -3x = 20

Add '-36' to each side of the equation.
36 + -36 + -3x = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 20 + -36
-3x = 20 + -36

Combine like terms: 20 + -36 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

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