2a-7(a-6)=-3(3a-2)

Solution for 2a-7(a-6)=-3(3a-2) equation:

Simplifying
2a + -7(a + -6) = -3(3a + -2)

Reorder the terms:
2a + -7(-6 + a) = -3(3a + -2)
2a + (-6 * -7 + a * -7) = -3(3a + -2)
2a + (42 + -7a) = -3(3a + -2)

Reorder the terms:
42 + 2a + -7a = -3(3a + -2)

Combine like terms: 2a + -7a = -5a
42 + -5a = -3(3a + -2)

Reorder the terms:
42 + -5a = -3(-2 + 3a)
42 + -5a = (-2 * -3 + 3a * -3)
42 + -5a = (6 + -9a)

Solving
42 + -5a = 6 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
42 + -5a + 9a = 6 + -9a + 9a

Combine like terms: -5a + 9a = 4a
42 + 4a = 6 + -9a + 9a

Combine like terms: -9a + 9a = 0
42 + 4a = 6 + 0
42 + 4a = 6

Add '-42' to each side of the equation.
42 + -42 + 4a = 6 + -42

Combine like terms: 42 + -42 = 0
0 + 4a = 6 + -42
4a = 6 + -42

Combine like terms: 6 + -42 = -36
4a = -36

Divide each side by '4'.
a = -9

Simplifying
a = -9