9(x-1)-(8x+1)=9

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


Simplifying
9(x + -1) + -1(8x + 1) = 9

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

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

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

Combine like terms: -9 + -1 = -10
-10 + 9x + -8x = 9

Combine like terms: 9x + -8x = 1x
-10 + 1x = 9

Solving
-10 + 1x = 9

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = 9 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 9 + 10
1x = 9 + 10

Combine like terms: 9 + 10 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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