8(3a-9)-4(2a+7)=12

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Solution for 8(3a-9)-4(2a+7)=12 equation:


Simplifying
8(3a + -9) + -4(2a + 7) = 12

Reorder the terms:
8(-9 + 3a) + -4(2a + 7) = 12
(-9 * 8 + 3a * 8) + -4(2a + 7) = 12
(-72 + 24a) + -4(2a + 7) = 12

Reorder the terms:
-72 + 24a + -4(7 + 2a) = 12
-72 + 24a + (7 * -4 + 2a * -4) = 12
-72 + 24a + (-28 + -8a) = 12

Reorder the terms:
-72 + -28 + 24a + -8a = 12

Combine like terms: -72 + -28 = -100
-100 + 24a + -8a = 12

Combine like terms: 24a + -8a = 16a
-100 + 16a = 12

Solving
-100 + 16a = 12

Solving for variable 'a'.

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

Add '100' to each side of the equation.
-100 + 100 + 16a = 12 + 100

Combine like terms: -100 + 100 = 0
0 + 16a = 12 + 100
16a = 12 + 100

Combine like terms: 12 + 100 = 112
16a = 112

Divide each side by '16'.
a = 7

Simplifying
a = 7

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