6(a-7)+12=3(a-5)

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Solution for 6(a-7)+12=3(a-5) equation:


Simplifying
6(a + -7) + 12 = 3(a + -5)

Reorder the terms:
6(-7 + a) + 12 = 3(a + -5)
(-7 * 6 + a * 6) + 12 = 3(a + -5)
(-42 + 6a) + 12 = 3(a + -5)

Reorder the terms:
-42 + 12 + 6a = 3(a + -5)

Combine like terms: -42 + 12 = -30
-30 + 6a = 3(a + -5)

Reorder the terms:
-30 + 6a = 3(-5 + a)
-30 + 6a = (-5 * 3 + a * 3)
-30 + 6a = (-15 + 3a)

Solving
-30 + 6a = -15 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-30 + 6a + -3a = -15 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-30 + 3a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-30 + 3a = -15 + 0
-30 + 3a = -15

Add '30' to each side of the equation.
-30 + 30 + 3a = -15 + 30

Combine like terms: -30 + 30 = 0
0 + 3a = -15 + 30
3a = -15 + 30

Combine like terms: -15 + 30 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5

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