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

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


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

Reorder the terms:
9X + -8(2 + x) = 8(x + 1) + -7x
9X + (2 * -8 + x * -8) = 8(x + 1) + -7x
9X + (-16 + -8x) = 8(x + 1) + -7x

Reorder the terms:
-16 + 9X + -8x = 8(x + 1) + -7x

Reorder the terms:
-16 + 9X + -8x = 8(1 + x) + -7x
-16 + 9X + -8x = (1 * 8 + x * 8) + -7x
-16 + 9X + -8x = (8 + 8x) + -7x

Combine like terms: 8x + -7x = 1x
-16 + 9X + -8x = 8 + 1x

Solving
-16 + 9X + -8x = 8 + 1x

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + 9X + 16 + -8x = 8 + 16 + 1x

Reorder the terms:
-16 + 16 + 9X + -8x = 8 + 16 + 1x

Combine like terms: -16 + 16 = 0
0 + 9X + -8x = 8 + 16 + 1x
9X + -8x = 8 + 16 + 1x

Combine like terms: 8 + 16 = 24
9X + -8x = 24 + 1x

Add '8x' to each side of the equation.
9X + -8x + 8x = 24 + 1x + 8x

Combine like terms: -8x + 8x = 0
9X + 0 = 24 + 1x + 8x
9X = 24 + 1x + 8x

Combine like terms: 1x + 8x = 9x
9X = 24 + 9x

Divide each side by '9'.
X = 2.666666667 + x

Simplifying
X = 2.666666667 + x

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