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

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

Simplifying
2(a + -5) + -3(a + -2) = 0

Reorder the terms:
2(-5 + a) + -3(a + -2) = 0
(-5 * 2 + a * 2) + -3(a + -2) = 0
(-10 + 2a) + -3(a + -2) = 0

Reorder the terms:
-10 + 2a + -3(-2 + a) = 0
-10 + 2a + (-2 * -3 + a * -3) = 0
-10 + 2a + (6 + -3a) = 0

Reorder the terms:
-10 + 6 + 2a + -3a = 0

Combine like terms: -10 + 6 = -4
-4 + 2a + -3a = 0

Combine like terms: 2a + -3a = -1a
-4 + -1a = 0

Solving
-4 + -1a = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

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

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

Divide each side by '-1'.
a = -4

Simplifying
a = -4