2(a+5)-(a+4)=2a

Solution for 2(a+5)-(a+4)=2a equation:

Simplifying
2(a + 5) + -1(a + 4) = 2a

Reorder the terms:
2(5 + a) + -1(a + 4) = 2a
(5 * 2 + a * 2) + -1(a + 4) = 2a
(10 + 2a) + -1(a + 4) = 2a

Reorder the terms:
10 + 2a + -1(4 + a) = 2a
10 + 2a + (4 * -1 + a * -1) = 2a
10 + 2a + (-4 + -1a) = 2a

Reorder the terms:
10 + -4 + 2a + -1a = 2a

Combine like terms: 10 + -4 = 6
6 + 2a + -1a = 2a

Combine like terms: 2a + -1a = 1a
6 + 1a = 2a

Solving
6 + 1a = 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 1a + -2a = 2a + -2a

Combine like terms: 1a + -2a = -1a
6 + -1a = 2a + -2a

Combine like terms: 2a + -2a = 0
6 + -1a = 0

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6