-0.4(a-15)=0.1(a-1.5)

Solution for -0.4(a-15)=0.1(a-1.5) equation:

Simplifying
-0.4(a + -15) = 0.1(a + -1.5)

Reorder the terms:
-0.4(-15 + a) = 0.1(a + -1.5)
(-15 * -0.4 + a * -0.4) = 0.1(a + -1.5)
(6 + -0.4a) = 0.1(a + -1.5)

Reorder the terms:
6 + -0.4a = 0.1(-1.5 + a)
6 + -0.4a = (-1.5 * 0.1 + a * 0.1)
6 + -0.4a = (-0.15 + 0.1a)

Solving
6 + -0.4a = -0.15 + 0.1a

Solving for variable 'a'.

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

Add '-0.1a' to each side of the equation.
6 + -0.4a + -0.1a = -0.15 + 0.1a + -0.1a

Combine like terms: -0.4a + -0.1a = -0.5a
6 + -0.5a = -0.15 + 0.1a + -0.1a

Combine like terms: 0.1a + -0.1a = 0.0
6 + -0.5a = -0.15 + 0.0
6 + -0.5a = -0.15

Add '-6' to each side of the equation.
6 + -6 + -0.5a = -0.15 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5a = -0.15 + -6
-0.5a = -0.15 + -6

Combine like terms: -0.15 + -6 = -6.15
-0.5a = -6.15

Divide each side by '-0.5'.
a = 12.3

Simplifying
a = 12.3