7(a-6)+12=2(a-5)

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Solution for 7(a-6)+12=2(a-5) equation:


Simplifying
7(a + -6) + 12 = 2(a + -5)

Reorder the terms:
7(-6 + a) + 12 = 2(a + -5)
(-6 * 7 + a * 7) + 12 = 2(a + -5)
(-42 + 7a) + 12 = 2(a + -5)

Reorder the terms:
-42 + 12 + 7a = 2(a + -5)

Combine like terms: -42 + 12 = -30
-30 + 7a = 2(a + -5)

Reorder the terms:
-30 + 7a = 2(-5 + a)
-30 + 7a = (-5 * 2 + a * 2)
-30 + 7a = (-10 + 2a)

Solving
-30 + 7a = -10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-30 + 7a + -2a = -10 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-30 + 5a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-30 + 5a = -10 + 0
-30 + 5a = -10

Add '30' to each side of the equation.
-30 + 30 + 5a = -10 + 30

Combine like terms: -30 + 30 = 0
0 + 5a = -10 + 30
5a = -10 + 30

Combine like terms: -10 + 30 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4

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