3(1-3a)=2(-4a+7)

Solution for 3(1-3a)=2(-4a+7) equation:

Simplifying
3(1 + -3a) = 2(-4a + 7)
(1 * 3 + -3a * 3) = 2(-4a + 7)
(3 + -9a) = 2(-4a + 7)

Reorder the terms:
3 + -9a = 2(7 + -4a)
3 + -9a = (7 * 2 + -4a * 2)
3 + -9a = (14 + -8a)

Solving
3 + -9a = 14 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
3 + -9a + 8a = 14 + -8a + 8a

Combine like terms: -9a + 8a = -1a
3 + -1a = 14 + -8a + 8a

Combine like terms: -8a + 8a = 0
3 + -1a = 14 + 0
3 + -1a = 14

Add '-3' to each side of the equation.
3 + -3 + -1a = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 14 + -3
-1a = 14 + -3

Combine like terms: 14 + -3 = 11
-1a = 11

Divide each side by '-1'.
a = -11

Simplifying
a = -11