8(x-2)=9(x-2)

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Solution for 8(x-2)=9(x-2) equation:


Simplifying
8(x + -2) = 9(x + -2)

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

Reorder the terms:
-16 + 8x = 9(-2 + x)
-16 + 8x = (-2 * 9 + x * 9)
-16 + 8x = (-18 + 9x)

Solving
-16 + 8x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-16 + 8x + -9x = -18 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-16 + -1x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-16 + -1x = -18 + 0
-16 + -1x = -18

Add '16' to each side of the equation.
-16 + 16 + -1x = -18 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -18 + 16
-1x = -18 + 16

Combine like terms: -18 + 16 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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