6(a-5)+12=(a-7)

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Solution for 6(a-5)+12=(a-7) equation:


Simplifying
6(a + -5) + 12 = (a + -7)

Reorder the terms:
6(-5 + a) + 12 = (a + -7)
(-5 * 6 + a * 6) + 12 = (a + -7)
(-30 + 6a) + 12 = (a + -7)

Reorder the terms:
-30 + 12 + 6a = (a + -7)

Combine like terms: -30 + 12 = -18
-18 + 6a = (a + -7)

Reorder the terms:
-18 + 6a = (-7 + a)

Remove parenthesis around (-7 + a)
-18 + 6a = -7 + a

Solving
-18 + 6a = -7 + 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.
-18 + 6a + -1a = -7 + a + -1a

Combine like terms: 6a + -1a = 5a
-18 + 5a = -7 + a + -1a

Combine like terms: a + -1a = 0
-18 + 5a = -7 + 0
-18 + 5a = -7

Add '18' to each side of the equation.
-18 + 18 + 5a = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 5a = -7 + 18
5a = -7 + 18

Combine like terms: -7 + 18 = 11
5a = 11

Divide each side by '5'.
a = 2.2

Simplifying
a = 2.2

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