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

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

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

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

Reorder the terms:
10 + 5a = 2(3 + 2a)
10 + 5a = (3 * 2 + 2a * 2)
10 + 5a = (6 + 4a)

Solving
10 + 5a = 6 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + 5a + -4a = 6 + 4a + -4a

Combine like terms: 5a + -4a = 1a
10 + 1a = 6 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + 1a = 6 + 0
10 + 1a = 6

Add '-10' to each side of the equation.
10 + -10 + 1a = 6 + -10

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

Combine like terms: 6 + -10 = -4
1a = -4

Divide each side by '1'.
a = -4

Simplifying
a = -4