2(a+5)-3(5+.5a)=-19

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Solution for 2(a+5)-3(5+.5a)=-19 equation: 


Simplifying
2(a + 5) + -3(5 + 0.5a) = -19

Reorder the terms:
2(5 + a) + -3(5 + 0.5a) = -19
(5 * 2 + a * 2) + -3(5 + 0.5a) = -19
(10 + 2a) + -3(5 + 0.5a) = -19
10 + 2a + (5 * -3 + 0.5a * -3) = -19
10 + 2a + (-15 + -1.5a) = -19

Reorder the terms:
10 + -15 + 2a + -1.5a = -19

Combine like terms: 10 + -15 = -5
-5 + 2a + -1.5a = -19

Combine like terms: 2a + -1.5a = 0.5a
-5 + 0.5a = -19

Solving
-5 + 0.5a = -19

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 0.5a = -19 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5a = -19 + 5
0.5a = -19 + 5

Combine like terms: -19 + 5 = -14
0.5a = -14

Divide each side by '0.5'.
a = -28

Simplifying
a = -28

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