2[a+1]=45+a

Solution for 2[a+1]=45+a equation:

Simplifying
2[a + 1] = 45 + a

Reorder the terms:
2[1 + a] = 45 + a
[1 * 2 + a * 2] = 45 + a
[2 + 2a] = 45 + a

Solving
2 + 2a = 45 + 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.
2 + 2a + -1a = 45 + a + -1a

Combine like terms: 2a + -1a = 1a
2 + 1a = 45 + a + -1a

Combine like terms: a + -1a = 0
2 + 1a = 45 + 0
2 + 1a = 45

Add '-2' to each side of the equation.
2 + -2 + 1a = 45 + -2

Combine like terms: 2 + -2 = 0
0 + 1a = 45 + -2
1a = 45 + -2

Combine like terms: 45 + -2 = 43
1a = 43

Divide each side by '1'.
a = 43

Simplifying
a = 43