2.5(1-4a)=1.5-1.4(6a+5)

Solution for 2.5(1-4a)=1.5-1.4(6a+5) equation:

Simplifying
2.5(1 + -4a) = 1.5 + -1.4(6a + 5)
(1 * 2.5 + -4a * 2.5) = 1.5 + -1.4(6a + 5)
(2.5 + -10a) = 1.5 + -1.4(6a + 5)

Reorder the terms:
2.5 + -10a = 1.5 + -1.4(5 + 6a)
2.5 + -10a = 1.5 + (5 * -1.4 + 6a * -1.4)
2.5 + -10a = 1.5 + (-7 + -8.4a)

Combine like terms: 1.5 + -7 = -5.5
2.5 + -10a = -5.5 + -8.4a

Solving
2.5 + -10a = -5.5 + -8.4a

Solving for variable 'a'.

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

Add '8.4a' to each side of the equation.
2.5 + -10a + 8.4a = -5.5 + -8.4a + 8.4a

Combine like terms: -10a + 8.4a = -1.6a
2.5 + -1.6a = -5.5 + -8.4a + 8.4a

Combine like terms: -8.4a + 8.4a = 0.0
2.5 + -1.6a = -5.5 + 0.0
2.5 + -1.6a = -5.5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1.6a = -5.5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.6a = -5.5 + -2.5
-1.6a = -5.5 + -2.5

Combine like terms: -5.5 + -2.5 = -8
-1.6a = -8

Divide each side by '-1.6'.
a = 5

Simplifying
a = 5