2(X-3)+9(7x-8)=64(x-1)+8

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Solution for 2(X-3)+9(7x-8)=64(x-1)+8 equation: 


Simplifying
2(X + -3) + 9(7x + -8) = 64(x + -1) + 8

Reorder the terms:
2(-3 + X) + 9(7x + -8) = 64(x + -1) + 8
(-3 * 2 + X * 2) + 9(7x + -8) = 64(x + -1) + 8
(-6 + 2X) + 9(7x + -8) = 64(x + -1) + 8

Reorder the terms:
-6 + 2X + 9(-8 + 7x) = 64(x + -1) + 8
-6 + 2X + (-8 * 9 + 7x * 9) = 64(x + -1) + 8
-6 + 2X + (-72 + 63x) = 64(x + -1) + 8

Reorder the terms:
-6 + -72 + 2X + 63x = 64(x + -1) + 8

Combine like terms: -6 + -72 = -78
-78 + 2X + 63x = 64(x + -1) + 8

Reorder the terms:
-78 + 2X + 63x = 64(-1 + x) + 8
-78 + 2X + 63x = (-1 * 64 + x * 64) + 8
-78 + 2X + 63x = (-64 + 64x) + 8

Reorder the terms:
-78 + 2X + 63x = -64 + 8 + 64x

Combine like terms: -64 + 8 = -56
-78 + 2X + 63x = -56 + 64x

Solving
-78 + 2X + 63x = -56 + 64x

Solving for variable 'X'.

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

Add '78' to each side of the equation.
-78 + 2X + 78 + 63x = -56 + 78 + 64x

Reorder the terms:
-78 + 78 + 2X + 63x = -56 + 78 + 64x

Combine like terms: -78 + 78 = 0
0 + 2X + 63x = -56 + 78 + 64x
2X + 63x = -56 + 78 + 64x

Combine like terms: -56 + 78 = 22
2X + 63x = 22 + 64x

Add '-63x' to each side of the equation.
2X + 63x + -63x = 22 + 64x + -63x

Combine like terms: 63x + -63x = 0
2X + 0 = 22 + 64x + -63x
2X = 22 + 64x + -63x

Combine like terms: 64x + -63x = 1x
2X = 22 + 1x

Divide each side by '2'.
X = 11 + 0.5x

Simplifying
X = 11 + 0.5x

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