-5(3a-a)=-3(2-a)

Solution for -5(3a-a)=-3(2-a) equation:

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

Combine like terms: 3a + -1a = 2a
-5(2a) = -3(2 + -1a)

Remove parenthesis around (2a)
-5 * 2a = -3(2 + -1a)

Multiply -5 * 2
-10a = -3(2 + -1a)
-10a = (2 * -3 + -1a * -3)
-10a = (-6 + 3a)

Solving
-10a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-10a + -3a = -6 + 3a + -3a

Combine like terms: -10a + -3a = -13a
-13a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-13a = -6 + 0
-13a = -6

Divide each side by '-13'.
a = 0.4615384615

Simplifying
a = 0.4615384615