(4a-7)-(3a-6)=0

Solution for (4a-7)-(3a-6)=0 equation:

Simplifying
(4a + -7) + -1(3a + -6) = 0

Reorder the terms:
(-7 + 4a) + -1(3a + -6) = 0

Remove parenthesis around (-7 + 4a)
-7 + 4a + -1(3a + -6) = 0

Reorder the terms:
-7 + 4a + -1(-6 + 3a) = 0
-7 + 4a + (-6 * -1 + 3a * -1) = 0
-7 + 4a + (6 + -3a) = 0

Reorder the terms:
-7 + 6 + 4a + -3a = 0

Combine like terms: -7 + 6 = -1
-1 + 4a + -3a = 0

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

Solving
-1 + 1a = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 1a = 0 + 1

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

Combine like terms: 0 + 1 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1