8(x-1)=9(x-2)

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


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

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

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

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

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

Combine like terms: 9x + -9x = 0
-8 + -1x = -18 + 0
-8 + -1x = -18

Add '8' to each side of the equation.
-8 + 8 + -1x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -18 + 8
-1x = -18 + 8

Combine like terms: -18 + 8 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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