-1.1(a+.5)=1.5(a+7)

Solution for -1.1(a+.5)=1.5(a+7) equation:

Simplifying
-1.1(a + 0.5) = 1.5(a + 7)

Reorder the terms:
-1.1(0.5 + a) = 1.5(a + 7)
(0.5 * -1.1 + a * -1.1) = 1.5(a + 7)
(-0.55 + -1.1a) = 1.5(a + 7)

Reorder the terms:
-0.55 + -1.1a = 1.5(7 + a)
-0.55 + -1.1a = (7 * 1.5 + a * 1.5)
-0.55 + -1.1a = (10.5 + 1.5a)

Solving
-0.55 + -1.1a = 10.5 + 1.5a

Solving for variable 'a'.

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

Add '-1.5a' to each side of the equation.
-0.55 + -1.1a + -1.5a = 10.5 + 1.5a + -1.5a

Combine like terms: -1.1a + -1.5a = -2.6a
-0.55 + -2.6a = 10.5 + 1.5a + -1.5a

Combine like terms: 1.5a + -1.5a = 0.0
-0.55 + -2.6a = 10.5 + 0.0
-0.55 + -2.6a = 10.5

Add '0.55' to each side of the equation.
-0.55 + 0.55 + -2.6a = 10.5 + 0.55

Combine like terms: -0.55 + 0.55 = 0.00
0.00 + -2.6a = 10.5 + 0.55
-2.6a = 10.5 + 0.55

Combine like terms: 10.5 + 0.55 = 11.05
-2.6a = 11.05

Divide each side by '-2.6'.
a = -4.25

Simplifying
a = -4.25