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

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

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

Reorder the terms:
5(-3 + 2a) + -3(3a + -7) = 5
(-3 * 5 + 2a * 5) + -3(3a + -7) = 5
(-15 + 10a) + -3(3a + -7) = 5

Reorder the terms:
-15 + 10a + -3(-7 + 3a) = 5
-15 + 10a + (-7 * -3 + 3a * -3) = 5
-15 + 10a + (21 + -9a) = 5

Reorder the terms:
-15 + 21 + 10a + -9a = 5

Combine like terms: -15 + 21 = 6
6 + 10a + -9a = 5

Combine like terms: 10a + -9a = 1a
6 + 1a = 5

Solving
6 + 1a = 5

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 1a = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 5 + -6
1a = 5 + -6

Combine like terms: 5 + -6 = -1
1a = -1

Divide each side by '1'.
a = -1

Simplifying
a = -1