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

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

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

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

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

Combine like terms: 5a + 2a = 7a
-3 + 7a = (2a + -1(-1a + 3))

Reorder the terms:
-3 + 7a = (2a + -1(3 + -1a))
-3 + 7a = (2a + (3 * -1 + -1a * -1))
-3 + 7a = (2a + (-3 + 1a))

Reorder the terms:
-3 + 7a = (-3 + 2a + 1a)

Combine like terms: 2a + 1a = 3a
-3 + 7a = (-3 + 3a)

Remove parenthesis around (-3 + 3a)
-3 + 7a = -3 + 3a

Add '3' to each side of the equation.
-3 + 3 + 7a = -3 + 3 + 3a

Combine like terms: -3 + 3 = 0
0 + 7a = -3 + 3 + 3a
7a = -3 + 3 + 3a

Combine like terms: -3 + 3 = 0
7a = 0 + 3a
7a = 3a

Solving
7a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
7a + -3a = 3a + -3a

Combine like terms: 7a + -3a = 4a
4a = 3a + -3a

Combine like terms: 3a + -3a = 0
4a = 0

Divide each side by '4'.
a = 0

Simplifying
a = 0