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

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

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

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

Reorder the terms:
-5 + 5a + -4(-2 + a) = 4
-5 + 5a + (-2 * -4 + a * -4) = 4
-5 + 5a + (8 + -4a) = 4

Reorder the terms:
-5 + 8 + 5a + -4a = 4

Combine like terms: -5 + 8 = 3
3 + 5a + -4a = 4

Combine like terms: 5a + -4a = 1a
3 + 1a = 4

Solving
3 + 1a = 4

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 1a = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = 4 + -3
1a = 4 + -3

Combine like terms: 4 + -3 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1