-2(a-1)+3(1+7a)=a-5+10

Solution for -2(a-1)+3(1+7a)=a-5+10 equation:

Simplifying
-2(a + -1) + 3(1 + 7a) = a + -5 + 10

Reorder the terms:
-2(-1 + a) + 3(1 + 7a) = a + -5 + 10
(-1 * -2 + a * -2) + 3(1 + 7a) = a + -5 + 10
(2 + -2a) + 3(1 + 7a) = a + -5 + 10
2 + -2a + (1 * 3 + 7a * 3) = a + -5 + 10
2 + -2a + (3 + 21a) = a + -5 + 10

Reorder the terms:
2 + 3 + -2a + 21a = a + -5 + 10

Combine like terms: 2 + 3 = 5
5 + -2a + 21a = a + -5 + 10

Combine like terms: -2a + 21a = 19a
5 + 19a = a + -5 + 10

Reorder the terms:
5 + 19a = -5 + 10 + a

Combine like terms: -5 + 10 = 5
5 + 19a = 5 + a

Add '-5' to each side of the equation.
5 + -5 + 19a = 5 + -5 + a

Combine like terms: 5 + -5 = 0
0 + 19a = 5 + -5 + a
19a = 5 + -5 + a

Combine like terms: 5 + -5 = 0
19a = 0 + a
19a = a

Solving
19a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
19a + -1a = a + -1a

Combine like terms: 19a + -1a = 18a
18a = a + -1a

Combine like terms: a + -1a = 0
18a = 0

Divide each side by '18'.
a = 0

Simplifying
a = 0