-1.2(a-2)=0.8(a+7)

Solution for -1.2(a-2)=0.8(a+7) equation:

Simplifying
-1.2(a + -2) = 0.8(a + 7)

Reorder the terms:
-1.2(-2 + a) = 0.8(a + 7)
(-2 * -1.2 + a * -1.2) = 0.8(a + 7)
(2.4 + -1.2a) = 0.8(a + 7)

Reorder the terms:
2.4 + -1.2a = 0.8(7 + a)
2.4 + -1.2a = (7 * 0.8 + a * 0.8)
2.4 + -1.2a = (5.6 + 0.8a)

Solving
2.4 + -1.2a = 5.6 + 0.8a

Solving for variable 'a'.

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

Add '-0.8a' to each side of the equation.
2.4 + -1.2a + -0.8a = 5.6 + 0.8a + -0.8a

Combine like terms: -1.2a + -0.8a = -2a
2.4 + -2a = 5.6 + 0.8a + -0.8a

Combine like terms: 0.8a + -0.8a = 0.0
2.4 + -2a = 5.6 + 0.0
2.4 + -2a = 5.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -2a = 5.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -2a = 5.6 + -2.4
-2a = 5.6 + -2.4

Combine like terms: 5.6 + -2.4 = 3.2
-2a = 3.2

Divide each side by '-2'.
a = -1.6

Simplifying
a = -1.6