5(a-6)+8=3(a-6)

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Solution for 5(a-6)+8=3(a-6) equation:


Simplifying
5(a + -6) + 8 = 3(a + -6)

Reorder the terms:
5(-6 + a) + 8 = 3(a + -6)
(-6 * 5 + a * 5) + 8 = 3(a + -6)
(-30 + 5a) + 8 = 3(a + -6)

Reorder the terms:
-30 + 8 + 5a = 3(a + -6)

Combine like terms: -30 + 8 = -22
-22 + 5a = 3(a + -6)

Reorder the terms:
-22 + 5a = 3(-6 + a)
-22 + 5a = (-6 * 3 + a * 3)
-22 + 5a = (-18 + 3a)

Solving
-22 + 5a = -18 + 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.
-22 + 5a + -3a = -18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-22 + 2a = -18 + 3a + -3a

Combine like terms: 3a + -3a = 0
-22 + 2a = -18 + 0
-22 + 2a = -18

Add '22' to each side of the equation.
-22 + 22 + 2a = -18 + 22

Combine like terms: -22 + 22 = 0
0 + 2a = -18 + 22
2a = -18 + 22

Combine like terms: -18 + 22 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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