0.4(a-10)=0.8(5a+4)

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Solution for 0.4(a-10)=0.8(5a+4) equation:


Simplifying
0.4(a + -10) = 0.8(5a + 4)

Reorder the terms:
0.4(-10 + a) = 0.8(5a + 4)
(-10 * 0.4 + a * 0.4) = 0.8(5a + 4)
(-4 + 0.4a) = 0.8(5a + 4)

Reorder the terms:
-4 + 0.4a = 0.8(4 + 5a)
-4 + 0.4a = (4 * 0.8 + 5a * 0.8)
-4 + 0.4a = (3.2 + 4a)

Solving
-4 + 0.4a = 3.2 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-4 + 0.4a + -4a = 3.2 + 4a + -4a

Combine like terms: 0.4a + -4a = -3.6a
-4 + -3.6a = 3.2 + 4a + -4a

Combine like terms: 4a + -4a = 0
-4 + -3.6a = 3.2 + 0
-4 + -3.6a = 3.2

Add '4' to each side of the equation.
-4 + 4 + -3.6a = 3.2 + 4

Combine like terms: -4 + 4 = 0
0 + -3.6a = 3.2 + 4
-3.6a = 3.2 + 4

Combine like terms: 3.2 + 4 = 7.2
-3.6a = 7.2

Divide each side by '-3.6'.
a = -2

Simplifying
a = -2

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