2(a+3)-3(a+4)=-10

Solution for 2(a+3)-3(a+4)=-10 equation:

Simplifying
2(a + 3) + -3(a + 4) = -10

Reorder the terms:
2(3 + a) + -3(a + 4) = -10
(3 * 2 + a * 2) + -3(a + 4) = -10
(6 + 2a) + -3(a + 4) = -10

Reorder the terms:
6 + 2a + -3(4 + a) = -10
6 + 2a + (4 * -3 + a * -3) = -10
6 + 2a + (-12 + -3a) = -10

Reorder the terms:
6 + -12 + 2a + -3a = -10

Combine like terms: 6 + -12 = -6
-6 + 2a + -3a = -10

Combine like terms: 2a + -3a = -1a
-6 + -1a = -10

Solving
-6 + -1a = -10

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 = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -1a = -10 + 6
-1a = -10 + 6

Combine like terms: -10 + 6 = -4
-1a = -4

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

Simplifying
a = 4