2(a-4)+15=31

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Solution for 2(a-4)+15=31 equation:


Simplifying
2(a + -4) + 15 = 31

Reorder the terms:
2(-4 + a) + 15 = 31
(-4 * 2 + a * 2) + 15 = 31
(-8 + 2a) + 15 = 31

Reorder the terms:
-8 + 15 + 2a = 31

Combine like terms: -8 + 15 = 7
7 + 2a = 31

Solving
7 + 2a = 31

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 2a = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 31 + -7
2a = 31 + -7

Combine like terms: 31 + -7 = 24
2a = 24

Divide each side by '2'.
a = 12

Simplifying
a = 12

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