8x-3(x-9)=2(x-4)+9

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Solution for 8x-3(x-9)=2(x-4)+9 equation: 


Simplifying
8x + -3(x + -9) = 2(x + -4) + 9

Reorder the terms:
8x + -3(-9 + x) = 2(x + -4) + 9
8x + (-9 * -3 + x * -3) = 2(x + -4) + 9
8x + (27 + -3x) = 2(x + -4) + 9

Reorder the terms:
27 + 8x + -3x = 2(x + -4) + 9

Combine like terms: 8x + -3x = 5x
27 + 5x = 2(x + -4) + 9

Reorder the terms:
27 + 5x = 2(-4 + x) + 9
27 + 5x = (-4 * 2 + x * 2) + 9
27 + 5x = (-8 + 2x) + 9

Reorder the terms:
27 + 5x = -8 + 9 + 2x

Combine like terms: -8 + 9 = 1
27 + 5x = 1 + 2x

Solving
27 + 5x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
27 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + 3x = 1 + 0
27 + 3x = 1

Add '-27' to each side of the equation.
27 + -27 + 3x = 1 + -27

Combine like terms: 27 + -27 = 0
0 + 3x = 1 + -27
3x = 1 + -27

Combine like terms: 1 + -27 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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