3a+5=a-4

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Solution for 3a+5=a-4 equation:


Simplifying
3a + 5 = a + -4

Reorder the terms:
5 + 3a = a + -4

Reorder the terms:
5 + 3a = -4 + a

Solving
5 + 3a = -4 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
5 + 3a + -1a = -4 + a + -1a

Combine like terms: 3a + -1a = 2a
5 + 2a = -4 + a + -1a

Combine like terms: a + -1a = 0
5 + 2a = -4 + 0
5 + 2a = -4

Add '-5' to each side of the equation.
5 + -5 + 2a = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = -4 + -5
2a = -4 + -5

Combine like terms: -4 + -5 = -9
2a = -9

Divide each side by '2'.
a = -4.5

Simplifying
a = -4.5

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