7-2a=3a-8

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Solution for 7-2a=3a-8 equation:


Simplifying
7 + -2a = 3a + -8

Reorder the terms:
7 + -2a = -8 + 3a

Solving
7 + -2a = -8 + 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.
7 + -2a + -3a = -8 + 3a + -3a

Combine like terms: -2a + -3a = -5a
7 + -5a = -8 + 3a + -3a

Combine like terms: 3a + -3a = 0
7 + -5a = -8 + 0
7 + -5a = -8

Add '-7' to each side of the equation.
7 + -7 + -5a = -8 + -7

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

Combine like terms: -8 + -7 = -15
-5a = -15

Divide each side by '-5'.
a = 3

Simplifying
a = 3

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