-9(x-3)=-8(x-2)

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Solution for -9(x-3)=-8(x-2) equation:


Simplifying
-9(x + -3) = -8(x + -2)

Reorder the terms:
-9(-3 + x) = -8(x + -2)
(-3 * -9 + x * -9) = -8(x + -2)
(27 + -9x) = -8(x + -2)

Reorder the terms:
27 + -9x = -8(-2 + x)
27 + -9x = (-2 * -8 + x * -8)
27 + -9x = (16 + -8x)

Solving
27 + -9x = 16 + -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.
27 + -9x + 8x = 16 + -8x + 8x

Combine like terms: -9x + 8x = -1x
27 + -1x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
27 + -1x = 16 + 0
27 + -1x = 16

Add '-27' to each side of the equation.
27 + -27 + -1x = 16 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 16 + -27
-1x = 16 + -27

Combine like terms: 16 + -27 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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