7(a-4)+3(a-6)=6a-12

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Solution for 7(a-4)+3(a-6)=6a-12 equation:


Simplifying
7(a + -4) + 3(a + -6) = 6a + -12

Reorder the terms:
7(-4 + a) + 3(a + -6) = 6a + -12
(-4 * 7 + a * 7) + 3(a + -6) = 6a + -12
(-28 + 7a) + 3(a + -6) = 6a + -12

Reorder the terms:
-28 + 7a + 3(-6 + a) = 6a + -12
-28 + 7a + (-6 * 3 + a * 3) = 6a + -12
-28 + 7a + (-18 + 3a) = 6a + -12

Reorder the terms:
-28 + -18 + 7a + 3a = 6a + -12

Combine like terms: -28 + -18 = -46
-46 + 7a + 3a = 6a + -12

Combine like terms: 7a + 3a = 10a
-46 + 10a = 6a + -12

Reorder the terms:
-46 + 10a = -12 + 6a

Solving
-46 + 10a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-46 + 10a + -6a = -12 + 6a + -6a

Combine like terms: 10a + -6a = 4a
-46 + 4a = -12 + 6a + -6a

Combine like terms: 6a + -6a = 0
-46 + 4a = -12 + 0
-46 + 4a = -12

Add '46' to each side of the equation.
-46 + 46 + 4a = -12 + 46

Combine like terms: -46 + 46 = 0
0 + 4a = -12 + 46
4a = -12 + 46

Combine like terms: -12 + 46 = 34
4a = 34

Divide each side by '4'.
a = 8.5

Simplifying
a = 8.5

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