.5[3(5+a)-2]=a+5

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


Simplifying
0.5[3(5 + a) + -2] = a + 5
0.5[(5 * 3 + a * 3) + -2] = a + 5
0.5[(15 + 3a) + -2] = a + 5

Reorder the terms:
0.5[15 + -2 + 3a] = a + 5

Combine like terms: 15 + -2 = 13
0.5[13 + 3a] = a + 5
[13 * 0.5 + 3a * 0.5] = a + 5
[6.5 + 1.5a] = a + 5

Reorder the terms:
6.5 + 1.5a = 5 + a

Solving
6.5 + 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.
6.5 + 1.5a + -1a = 5 + a + -1a

Combine like terms: 1.5a + -1a = 0.5a
6.5 + 0.5a = 5 + a + -1a

Combine like terms: a + -1a = 0
6.5 + 0.5a = 5 + 0
6.5 + 0.5a = 5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.5a = 5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.5a = 5 + -6.5
0.5a = 5 + -6.5

Combine like terms: 5 + -6.5 = -1.5
0.5a = -1.5

Divide each side by '0.5'.
a = -3

Simplifying
a = -3

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