9x-1=2(4x+5)-9

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Solution for 9x-1=2(4x+5)-9 equation:


Simplifying
9x + -1 = 2(4x + 5) + -9

Reorder the terms:
-1 + 9x = 2(4x + 5) + -9

Reorder the terms:
-1 + 9x = 2(5 + 4x) + -9
-1 + 9x = (5 * 2 + 4x * 2) + -9
-1 + 9x = (10 + 8x) + -9

Reorder the terms:
-1 + 9x = 10 + -9 + 8x

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

Solving
-1 + 9x = 1 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
-1 + 1x = 1 + 0
-1 + 1x = 1

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

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

Combine like terms: 1 + 1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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