5(a+2)=6+3(2a-1)

Solution for 5(a+2)=6+3(2a-1) equation:

Simplifying
5(a + 2) = 6 + 3(2a + -1)

Reorder the terms:
5(2 + a) = 6 + 3(2a + -1)
(2 * 5 + a * 5) = 6 + 3(2a + -1)
(10 + 5a) = 6 + 3(2a + -1)

Reorder the terms:
10 + 5a = 6 + 3(-1 + 2a)
10 + 5a = 6 + (-1 * 3 + 2a * 3)
10 + 5a = 6 + (-3 + 6a)

Combine like terms: 6 + -3 = 3
10 + 5a = 3 + 6a

Solving
10 + 5a = 3 + 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.
10 + 5a + -6a = 3 + 6a + -6a

Combine like terms: 5a + -6a = -1a
10 + -1a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
10 + -1a = 3 + 0
10 + -1a = 3

Add '-10' to each side of the equation.
10 + -10 + -1a = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = 3 + -10
-1a = 3 + -10

Combine like terms: 3 + -10 = -7
-1a = -7

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

Simplifying
a = 7