3a-7(a-8)=-12

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Solution for 3a-7(a-8)=-12 equation:


Simplifying
3a + -7(a + -8) = -12

Reorder the terms:
3a + -7(-8 + a) = -12
3a + (-8 * -7 + a * -7) = -12
3a + (56 + -7a) = -12

Reorder the terms:
56 + 3a + -7a = -12

Combine like terms: 3a + -7a = -4a
56 + -4a = -12

Solving
56 + -4a = -12

Solving for variable 'a'.

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

Add '-56' to each side of the equation.
56 + -56 + -4a = -12 + -56

Combine like terms: 56 + -56 = 0
0 + -4a = -12 + -56
-4a = -12 + -56

Combine like terms: -12 + -56 = -68
-4a = -68

Divide each side by '-4'.
a = 17

Simplifying
a = 17

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