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

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

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

Reorder the terms:
3 + 5a = 3(1 + -2a)
3 + 5a = (1 * 3 + -2a * 3)
3 + 5a = (3 + -6a)

Add '-3' to each side of the equation.
3 + -3 + 5a = 3 + -3 + -6a

Combine like terms: 3 + -3 = 0
0 + 5a = 3 + -3 + -6a
5a = 3 + -3 + -6a

Combine like terms: 3 + -3 = 0
5a = 0 + -6a
5a = -6a

Solving
5a = -6a

Solving for variable 'a'.

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

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

Combine like terms: 5a + 6a = 11a
11a = -6a + 6a

Combine like terms: -6a + 6a = 0
11a = 0

Divide each side by '11'.
a = 0

Simplifying
a = 0