9x-4(x-9)=3(x-2)+2

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Solution for 9x-4(x-9)=3(x-2)+2 equation: 


Simplifying
9x + -4(x + -9) = 3(x + -2) + 2

Reorder the terms:
9x + -4(-9 + x) = 3(x + -2) + 2
9x + (-9 * -4 + x * -4) = 3(x + -2) + 2
9x + (36 + -4x) = 3(x + -2) + 2

Reorder the terms:
36 + 9x + -4x = 3(x + -2) + 2

Combine like terms: 9x + -4x = 5x
36 + 5x = 3(x + -2) + 2

Reorder the terms:
36 + 5x = 3(-2 + x) + 2
36 + 5x = (-2 * 3 + x * 3) + 2
36 + 5x = (-6 + 3x) + 2

Reorder the terms:
36 + 5x = -6 + 2 + 3x

Combine like terms: -6 + 2 = -4
36 + 5x = -4 + 3x

Solving
36 + 5x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
36 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 2x = -4 + 0
36 + 2x = -4

Add '-36' to each side of the equation.
36 + -36 + 2x = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = -4 + -36
2x = -4 + -36

Combine like terms: -4 + -36 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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