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9X-5=3X+5

Since 3X contains the variable to solve for, move it to the left-hand side of the equation by subtracting 3X from both sides.
9X-5-3X=5

Since 9X and -3X are like terms, add -3X to 9X to get 6X.
6X-5=5

Since -5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides.
6X=5+5

Add 5 to 5 to get 10.
6X=10

Divide each term in the equation by 6.
(6X)/(6)=(10)/(6)

Simplify the left-hand side of the equation by canceling the common terms.
X=(10)/(6)

Simplify the right-hand side of the equation by simplifying each term.
X=(5)/(3)
by Level 6 User (23.6k points)

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