2a+9=a+5

Solution for 2a+9=a+5 equation:

Simplifying
2a + 9 = a + 5

Reorder the terms:
9 + 2a = a + 5

Reorder the terms:
9 + 2a = 5 + a

Solving
9 + 2a = 5 + 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.
9 + 2a + -1a = 5 + a + -1a

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

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

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

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

Combine like terms: 5 + -9 = -4
1a = -4

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

Simplifying
a = -4