2a-8=3(a-2)+a

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Solution for 2a-8=3(a-2)+a equation:


Simplifying
2a + -8 = 3(a + -2) + a

Reorder the terms:
-8 + 2a = 3(a + -2) + a

Reorder the terms:
-8 + 2a = 3(-2 + a) + a
-8 + 2a = (-2 * 3 + a * 3) + a
-8 + 2a = (-6 + 3a) + a

Combine like terms: 3a + a = 4a
-8 + 2a = -6 + 4a

Solving
-8 + 2a = -6 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-8 + 2a + -4a = -6 + 4a + -4a

Combine like terms: 2a + -4a = -2a
-8 + -2a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
-8 + -2a = -6 + 0
-8 + -2a = -6

Add '8' to each side of the equation.
-8 + 8 + -2a = -6 + 8

Combine like terms: -8 + 8 = 0
0 + -2a = -6 + 8
-2a = -6 + 8

Combine like terms: -6 + 8 = 2
-2a = 2

Divide each side by '-2'.
a = -1

Simplifying
a = -1

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