3(a-2)=5a+1

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

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

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

Reorder the terms:
-6 + 3a = 1 + 5a

Solving
-6 + 3a = 1 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-6 + 3a + -5a = 1 + 5a + -5a

Combine like terms: 3a + -5a = -2a
-6 + -2a = 1 + 5a + -5a

Combine like terms: 5a + -5a = 0
-6 + -2a = 1 + 0
-6 + -2a = 1

Add '6' to each side of the equation.
-6 + 6 + -2a = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -2a = 1 + 6
-2a = 1 + 6

Combine like terms: 1 + 6 = 7
-2a = 7

Divide each side by '-2'.
a = -3.5

Simplifying
a = -3.5