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 = -4
-1a = -4

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

Simplifying
a = 4

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