2a+9=5a-18

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Solution for 2a+9=5a-18 equation:


Simplifying
2a + 9 = 5a + -18

Reorder the terms:
9 + 2a = 5a + -18

Reorder the terms:
9 + 2a = -18 + 5a

Solving
9 + 2a = -18 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
9 + 2a + -5a = -18 + 5a + -5a

Combine like terms: 2a + -5a = -3a
9 + -3a = -18 + 5a + -5a

Combine like terms: 5a + -5a = 0
9 + -3a = -18 + 0
9 + -3a = -18

Add '-9' to each side of the equation.
9 + -9 + -3a = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -3a = -18 + -9
-3a = -18 + -9

Combine like terms: -18 + -9 = -27
-3a = -27

Divide each side by '-3'.
a = 9

Simplifying
a = 9

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