0.5(a-8)=1.3(a+6)

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Solution for 0.5(a-8)=1.3(a+6) equation:


Simplifying
0.5(a + -8) = 1.3(a + 6)

Reorder the terms:
0.5(-8 + a) = 1.3(a + 6)
(-8 * 0.5 + a * 0.5) = 1.3(a + 6)
(-4 + 0.5a) = 1.3(a + 6)

Reorder the terms:
-4 + 0.5a = 1.3(6 + a)
-4 + 0.5a = (6 * 1.3 + a * 1.3)
-4 + 0.5a = (7.8 + 1.3a)

Solving
-4 + 0.5a = 7.8 + 1.3a

Solving for variable 'a'.

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

Add '-1.3a' to each side of the equation.
-4 + 0.5a + -1.3a = 7.8 + 1.3a + -1.3a

Combine like terms: 0.5a + -1.3a = -0.8a
-4 + -0.8a = 7.8 + 1.3a + -1.3a

Combine like terms: 1.3a + -1.3a = 0.0
-4 + -0.8a = 7.8 + 0.0
-4 + -0.8a = 7.8

Add '4' to each side of the equation.
-4 + 4 + -0.8a = 7.8 + 4

Combine like terms: -4 + 4 = 0
0 + -0.8a = 7.8 + 4
-0.8a = 7.8 + 4

Combine like terms: 7.8 + 4 = 11.8
-0.8a = 11.8

Divide each side by '-0.8'.
a = -14.75

Simplifying
a = -14.75

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