2a-(a-5)=2(3-4a)

Solution for 2a-(a-5)=2(3-4a) equation:

Simplifying
2a + -1(a + -5) = 2(3 + -4a)

Reorder the terms:
2a + -1(-5 + a) = 2(3 + -4a)
2a + (-5 * -1 + a * -1) = 2(3 + -4a)
2a + (5 + -1a) = 2(3 + -4a)

Reorder the terms:
5 + 2a + -1a = 2(3 + -4a)

Combine like terms: 2a + -1a = 1a
5 + 1a = 2(3 + -4a)
5 + 1a = (3 * 2 + -4a * 2)
5 + 1a = (6 + -8a)

Solving
5 + 1a = 6 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
5 + 1a + 8a = 6 + -8a + 8a

Combine like terms: 1a + 8a = 9a
5 + 9a = 6 + -8a + 8a

Combine like terms: -8a + 8a = 0
5 + 9a = 6 + 0
5 + 9a = 6

Add '-5' to each side of the equation.
5 + -5 + 9a = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 9a = 6 + -5
9a = 6 + -5

Combine like terms: 6 + -5 = 1
9a = 1

Divide each side by '9'.
a = 0.1111111111

Simplifying
a = 0.1111111111