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

Solution for 2(2a-1)+4=5(a+1) equation:

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

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

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

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

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

Solving
2 + 4a = 5 + 5a

Solving for variable 'a'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 5 + -2

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

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

Divide each side by '-1'.
a = -3

Simplifying
a = -3