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

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


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

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

Combine like terms: 2a + a = 3a
-3 + 3a = 5(a + 3)

Reorder the terms:
-3 + 3a = 5(3 + a)
-3 + 3a = (3 * 5 + a * 5)
-3 + 3a = (15 + 5a)

Solving
-3 + 3a = 15 + 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.
-3 + 3a + -5a = 15 + 5a + -5a

Combine like terms: 3a + -5a = -2a
-3 + -2a = 15 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3 + -2a = 15 + 0
-3 + -2a = 15

Add '3' to each side of the equation.
-3 + 3 + -2a = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -2a = 15 + 3
-2a = 15 + 3

Combine like terms: 15 + 3 = 18
-2a = 18

Divide each side by '-2'.
a = -9

Simplifying
a = -9

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