0.5(a+5)=3a-1.25

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Solution for 0.5(a+5)=3a-1.25 equation: 


Simplifying
0.5(a + 5) = 3a + -1.25

Reorder the terms:
0.5(5 + a) = 3a + -1.25
(5 * 0.5 + a * 0.5) = 3a + -1.25
(2.5 + 0.5a) = 3a + -1.25

Reorder the terms:
2.5 + 0.5a = -1.25 + 3a

Solving
2.5 + 0.5a = -1.25 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2.5 + 0.5a + -3a = -1.25 + 3a + -3a

Combine like terms: 0.5a + -3a = -2.5a
2.5 + -2.5a = -1.25 + 3a + -3a

Combine like terms: 3a + -3a = 0
2.5 + -2.5a = -1.25 + 0
2.5 + -2.5a = -1.25

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -2.5a = -1.25 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.5a = -1.25 + -2.5
-2.5a = -1.25 + -2.5

Combine like terms: -1.25 + -2.5 = -3.75
-2.5a = -3.75

Divide each side by '-2.5'.
a = 1.5

Simplifying
a = 1.5

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