1.5(a+4)=2.5(a+1)

Solution for 1.5(a+4)=2.5(a+1) equation:

Simplifying
1.5(a + 4) = 2.5(a + 1)

Reorder the terms:
1.5(4 + a) = 2.5(a + 1)
(4 * 1.5 + a * 1.5) = 2.5(a + 1)
(6 + 1.5a) = 2.5(a + 1)

Reorder the terms:
6 + 1.5a = 2.5(1 + a)
6 + 1.5a = (1 * 2.5 + a * 2.5)
6 + 1.5a = (2.5 + 2.5a)

Solving
6 + 1.5a = 2.5 + 2.5a

Solving for variable 'a'.

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

Add '-2.5a' to each side of the equation.
6 + 1.5a + -2.5a = 2.5 + 2.5a + -2.5a

Combine like terms: 1.5a + -2.5a = -1a
6 + -1a = 2.5 + 2.5a + -2.5a

Combine like terms: 2.5a + -2.5a = 0.0
6 + -1a = 2.5 + 0.0
6 + -1a = 2.5

Add '-6' to each side of the equation.
6 + -6 + -1a = 2.5 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 2.5 + -6
-1a = 2.5 + -6

Combine like terms: 2.5 + -6 = -3.5
-1a = -3.5

Divide each side by '-1'.
a = 3.5

Simplifying
a = 3.5