0.3(a+2)=-0.1(-2a-4)

Solution for 0.3(a+2)=-0.1(-2a-4) equation:

Simplifying
0.3(a + 2) = -0.1(-2a + -4)

Reorder the terms:
0.3(2 + a) = -0.1(-2a + -4)
(2 * 0.3 + a * 0.3) = -0.1(-2a + -4)
(0.6 + 0.3a) = -0.1(-2a + -4)

Reorder the terms:
0.6 + 0.3a = -0.1(-4 + -2a)
0.6 + 0.3a = (-4 * -0.1 + -2a * -0.1)
0.6 + 0.3a = (0.4 + 0.2a)

Solving
0.6 + 0.3a = 0.4 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
0.6 + 0.3a + -0.2a = 0.4 + 0.2a + -0.2a

Combine like terms: 0.3a + -0.2a = 0.1a
0.6 + 0.1a = 0.4 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
0.6 + 0.1a = 0.4 + 0.0
0.6 + 0.1a = 0.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.1a = 0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.1a = 0.4 + -0.6
0.1a = 0.4 + -0.6

Combine like terms: 0.4 + -0.6 = -0.2
0.1a = -0.2

Divide each side by '0.1'.
a = -2

Simplifying
a = -2