4(a-1)-3(2-a)=2

Solution for 4(a-1)-3(2-a)=2 equation:

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

Reorder the terms:
4(-1 + a) + -3(2 + -1a) = 2
(-1 * 4 + a * 4) + -3(2 + -1a) = 2
(-4 + 4a) + -3(2 + -1a) = 2
-4 + 4a + (2 * -3 + -1a * -3) = 2
-4 + 4a + (-6 + 3a) = 2

Reorder the terms:
-4 + -6 + 4a + 3a = 2

Combine like terms: -4 + -6 = -10
-10 + 4a + 3a = 2

Combine like terms: 4a + 3a = 7a
-10 + 7a = 2

Solving
-10 + 7a = 2

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + 7a = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 7a = 2 + 10
7a = 2 + 10

Combine like terms: 2 + 10 = 12
7a = 12

Divide each side by '7'.
a = 1.714285714

Simplifying
a = 1.714285714