2a+9=3a+5

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Solution for 2a+9=3a+5 equation:


Simplifying
2a + 9 = 3a + 5

Reorder the terms:
9 + 2a = 3a + 5

Reorder the terms:
9 + 2a = 5 + 3a

Solving
9 + 2a = 5 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
9 + 2a + -3a = 5 + 3a + -3a

Combine like terms: 2a + -3a = -1a
9 + -1a = 5 + 3a + -3a

Combine like terms: 3a + -3a = 0
9 + -1a = 5 + 0
9 + -1a = 5

Add '-9' to each side of the equation.
9 + -9 + -1a = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 5 + -9
-1a = 5 + -9

Combine like terms: 5 + -9 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4

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