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

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


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

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

Reorder the terms:
-27 + 9x = 8(-8 + x)
-27 + 9x = (-8 * 8 + x * 8)
-27 + 9x = (-64 + 8x)

Solving
-27 + 9x = -64 + 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 = -64 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-27 + 1x = -64 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + 1x = -64 + 0
-27 + 1x = -64

Add '27' to each side of the equation.
-27 + 27 + 1x = -64 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -64 + 27
1x = -64 + 27

Combine like terms: -64 + 27 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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