9(X-5)=3(X-13)

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Solution for 9(X-5)=3(X-13) equation:


Simplifying
9(X + -5) = 3(X + -13)

Reorder the terms:
9(-5 + X) = 3(X + -13)
(-5 * 9 + X * 9) = 3(X + -13)
(-45 + 9X) = 3(X + -13)

Reorder the terms:
-45 + 9X = 3(-13 + X)
-45 + 9X = (-13 * 3 + X * 3)
-45 + 9X = (-39 + 3X)

Solving
-45 + 9X = -39 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
-45 + 9X + -3X = -39 + 3X + -3X

Combine like terms: 9X + -3X = 6X
-45 + 6X = -39 + 3X + -3X

Combine like terms: 3X + -3X = 0
-45 + 6X = -39 + 0
-45 + 6X = -39

Add '45' to each side of the equation.
-45 + 45 + 6X = -39 + 45

Combine like terms: -45 + 45 = 0
0 + 6X = -39 + 45
6X = -39 + 45

Combine like terms: -39 + 45 = 6
6X = 6

Divide each side by '6'.
X = 1

Simplifying
X = 1

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