9(x-3)=5(x-1)

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Solution for 9(x-3)=5(x-1) equation:


Simplifying
9(x + -3) = 5(x + -1)

Reorder the terms:
9(-3 + x) = 5(x + -1)
(-3 * 9 + x * 9) = 5(x + -1)
(-27 + 9x) = 5(x + -1)

Reorder the terms:
-27 + 9x = 5(-1 + x)
-27 + 9x = (-1 * 5 + x * 5)
-27 + 9x = (-5 + 5x)

Solving
-27 + 9x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-27 + 9x + -5x = -5 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-27 + 4x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-27 + 4x = -5 + 0
-27 + 4x = -5

Add '27' to each side of the equation.
-27 + 27 + 4x = -5 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = -5 + 27
4x = -5 + 27

Combine like terms: -5 + 27 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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