2a-5=3(a+3)

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Solution for 2a-5=3(a+3) equation:


Simplifying
2a + -5 = 3(a + 3)

Reorder the terms:
-5 + 2a = 3(a + 3)

Reorder the terms:
-5 + 2a = 3(3 + a)
-5 + 2a = (3 * 3 + a * 3)
-5 + 2a = (9 + 3a)

Solving
-5 + 2a = 9 + 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.
-5 + 2a + -3a = 9 + 3a + -3a

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

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

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

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

Combine like terms: 9 + 5 = 14
-1a = 14

Divide each side by '-1'.
a = -14

Simplifying
a = -14

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