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

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

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

Reorder the terms:
1 + -2(-7 + a) = 3(1 + -1a) + 7a
1 + (-7 * -2 + a * -2) = 3(1 + -1a) + 7a
1 + (14 + -2a) = 3(1 + -1a) + 7a

Combine like terms: 1 + 14 = 15
15 + -2a = 3(1 + -1a) + 7a
15 + -2a = (1 * 3 + -1a * 3) + 7a
15 + -2a = (3 + -3a) + 7a

Combine like terms: -3a + 7a = 4a
15 + -2a = 3 + 4a

Solving
15 + -2a = 3 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
15 + -2a + -4a = 3 + 4a + -4a

Combine like terms: -2a + -4a = -6a
15 + -6a = 3 + 4a + -4a

Combine like terms: 4a + -4a = 0
15 + -6a = 3 + 0
15 + -6a = 3

Add '-15' to each side of the equation.
15 + -15 + -6a = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -6a = 3 + -15
-6a = 3 + -15

Combine like terms: 3 + -15 = -12
-6a = -12

Divide each side by '-6'.
a = 2

Simplifying
a = 2