2(3-a)=5a-8

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Solution for 2(3-a)=5a-8 equation:


Simplifying
2(3 + -1a) = 5a + -8
(3 * 2 + -1a * 2) = 5a + -8
(6 + -2a) = 5a + -8

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

Solving
6 + -2a = -8 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + -2a + -5a = -8 + 5a + -5a

Combine like terms: -2a + -5a = -7a
6 + -7a = -8 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -7a = -8 + 0
6 + -7a = -8

Add '-6' to each side of the equation.
6 + -6 + -7a = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7a = -8 + -6
-7a = -8 + -6

Combine like terms: -8 + -6 = -14
-7a = -14

Divide each side by '-7'.
a = 2

Simplifying
a = 2

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