-0.2(a-15)=1.4(a-13)

Solution for -0.2(a-15)=1.4(a-13) equation:

Simplifying
-0.2(a + -15) = 1.4(a + -13)

Reorder the terms:
-0.2(-15 + a) = 1.4(a + -13)
(-15 * -0.2 + a * -0.2) = 1.4(a + -13)
(3 + -0.2a) = 1.4(a + -13)

Reorder the terms:
3 + -0.2a = 1.4(-13 + a)
3 + -0.2a = (-13 * 1.4 + a * 1.4)
3 + -0.2a = (-18.2 + 1.4a)

Solving
3 + -0.2a = -18.2 + 1.4a

Solving for variable 'a'.

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

Add '-1.4a' to each side of the equation.
3 + -0.2a + -1.4a = -18.2 + 1.4a + -1.4a

Combine like terms: -0.2a + -1.4a = -1.6a
3 + -1.6a = -18.2 + 1.4a + -1.4a

Combine like terms: 1.4a + -1.4a = 0.0
3 + -1.6a = -18.2 + 0.0
3 + -1.6a = -18.2

Add '-3' to each side of the equation.
3 + -3 + -1.6a = -18.2 + -3

Combine like terms: 3 + -3 = 0
0 + -1.6a = -18.2 + -3
-1.6a = -18.2 + -3

Combine like terms: -18.2 + -3 = -21.2
-1.6a = -21.2

Divide each side by '-1.6'.
a = 13.25

Simplifying
a = 13.25