0.5(3a-1)=a-5

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Solution for 0.5(3a-1)=a-5 equation: 


Simplifying
0.5(3a + -1) = a + -5

Reorder the terms:
0.5(-1 + 3a) = a + -5
(-1 * 0.5 + 3a * 0.5) = a + -5
(-0.5 + 1.5a) = a + -5

Reorder the terms:
-0.5 + 1.5a = -5 + a

Solving
-0.5 + 1.5a = -5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-0.5 + 1.5a + -1a = -5 + a + -1a

Combine like terms: 1.5a + -1a = 0.5a
-0.5 + 0.5a = -5 + a + -1a

Combine like terms: a + -1a = 0
-0.5 + 0.5a = -5 + 0
-0.5 + 0.5a = -5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.5a = -5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.5a = -5 + 0.5
0.5a = -5 + 0.5

Combine like terms: -5 + 0.5 = -4.5
0.5a = -4.5

Divide each side by '0.5'.
a = -9

Simplifying
a = -9

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