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

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


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

Reorder the terms:
7(-5 + a) + 12 = 3(a + -5)
(-5 * 7 + a * 7) + 12 = 3(a + -5)
(-35 + 7a) + 12 = 3(a + -5)

Reorder the terms:
-35 + 12 + 7a = 3(a + -5)

Combine like terms: -35 + 12 = -23
-23 + 7a = 3(a + -5)

Reorder the terms:
-23 + 7a = 3(-5 + a)
-23 + 7a = (-5 * 3 + a * 3)
-23 + 7a = (-15 + 3a)

Solving
-23 + 7a = -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.
-23 + 7a + -3a = -15 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-23 + 4a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-23 + 4a = -15 + 0
-23 + 4a = -15

Add '23' to each side of the equation.
-23 + 23 + 4a = -15 + 23

Combine like terms: -23 + 23 = 0
0 + 4a = -15 + 23
4a = -15 + 23

Combine like terms: -15 + 23 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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