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

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


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

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

Remove parenthesis around (3 + a)
3 + a = (5a + -3)

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

Remove parenthesis around (-3 + 5a)
3 + a = -3 + 5a

Solving
3 + a = -3 + 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 + a + -5a = -3 + 5a + -5a

Combine like terms: a + -5a = -4a
3 + -4a = -3 + 5a + -5a

Combine like terms: 5a + -5a = 0
3 + -4a = -3 + 0
3 + -4a = -3

Add '-3' to each side of the equation.
3 + -3 + -4a = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = -3 + -3
-4a = -3 + -3

Combine like terms: -3 + -3 = -6
-4a = -6

Divide each side by '-4'.
a = 1.5

Simplifying
a = 1.5

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