8X-4(X-9)=2(X-3)+1

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Solution for 8X-4(X-9)=2(X-3)+1 equation: 


Simplifying
8X + -4(X + -9) = 2(X + -3) + 1

Reorder the terms:
8X + -4(-9 + X) = 2(X + -3) + 1
8X + (-9 * -4 + X * -4) = 2(X + -3) + 1
8X + (36 + -4X) = 2(X + -3) + 1

Reorder the terms:
36 + 8X + -4X = 2(X + -3) + 1

Combine like terms: 8X + -4X = 4X
36 + 4X = 2(X + -3) + 1

Reorder the terms:
36 + 4X = 2(-3 + X) + 1
36 + 4X = (-3 * 2 + X * 2) + 1
36 + 4X = (-6 + 2X) + 1

Reorder the terms:
36 + 4X = -6 + 1 + 2X

Combine like terms: -6 + 1 = -5
36 + 4X = -5 + 2X

Solving
36 + 4X = -5 + 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.
36 + 4X + -2X = -5 + 2X + -2X

Combine like terms: 4X + -2X = 2X
36 + 2X = -5 + 2X + -2X

Combine like terms: 2X + -2X = 0
36 + 2X = -5 + 0
36 + 2X = -5

Add '-36' to each side of the equation.
36 + -36 + 2X = -5 + -36

Combine like terms: 36 + -36 = 0
0 + 2X = -5 + -36
2X = -5 + -36

Combine like terms: -5 + -36 = -41
2X = -41

Divide each side by '2'.
X = -20.5

Simplifying
X = -20.5

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