2a+1=3(a-2)

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

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

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

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

Solving
1 + 2a = -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.
1 + 2a + -3a = -6 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
1 + -1a = -6 + 0
1 + -1a = -6

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

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

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

Divide each side by '-1'.
a = 7

Simplifying
a = 7