5a-(7a-4)-2=5-(3a+2)

Solution for 5a-(7a-4)-2=5-(3a+2) equation:

Simplifying
5a + -1(7a + -4) + -2 = 5 + -1(3a + 2)

Reorder the terms:
5a + -1(-4 + 7a) + -2 = 5 + -1(3a + 2)
5a + (-4 * -1 + 7a * -1) + -2 = 5 + -1(3a + 2)
5a + (4 + -7a) + -2 = 5 + -1(3a + 2)

Reorder the terms:
4 + -2 + 5a + -7a = 5 + -1(3a + 2)

Combine like terms: 4 + -2 = 2
2 + 5a + -7a = 5 + -1(3a + 2)

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

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

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

Solving
2 + -2a = 3 + -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.
2 + -2a + 3a = 3 + -3a + 3a

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

Combine like terms: -3a + 3a = 0
2 + 1a = 3 + 0
2 + 1a = 3

Add '-2' to each side of the equation.
2 + -2 + 1a = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1a = 3 + -2
1a = 3 + -2

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

Divide each side by '1'.
a = 1

Simplifying
a = 1