6(a-5)+8=2(a-5)

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Solution for 6(a-5)+8=2(a-5) equation:


Simplifying
6(a + -5) + 8 = 2(a + -5)

Reorder the terms:
6(-5 + a) + 8 = 2(a + -5)
(-5 * 6 + a * 6) + 8 = 2(a + -5)
(-30 + 6a) + 8 = 2(a + -5)

Reorder the terms:
-30 + 8 + 6a = 2(a + -5)

Combine like terms: -30 + 8 = -22
-22 + 6a = 2(a + -5)

Reorder the terms:
-22 + 6a = 2(-5 + a)
-22 + 6a = (-5 * 2 + a * 2)
-22 + 6a = (-10 + 2a)

Solving
-22 + 6a = -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.
-22 + 6a + -2a = -10 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-22 + 4a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-22 + 4a = -10 + 0
-22 + 4a = -10

Add '22' to each side of the equation.
-22 + 22 + 4a = -10 + 22

Combine like terms: -22 + 22 = 0
0 + 4a = -10 + 22
4a = -10 + 22

Combine like terms: -10 + 22 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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