3a-7=a+8

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


Simplifying
3a + -7 = a + 8

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

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

Solving
-7 + 3a = 8 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-7 + 3a + -1a = 8 + a + -1a

Combine like terms: 3a + -1a = 2a
-7 + 2a = 8 + a + -1a

Combine like terms: a + -1a = 0
-7 + 2a = 8 + 0
-7 + 2a = 8

Add '7' to each side of the equation.
-7 + 7 + 2a = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 2a = 8 + 7
2a = 8 + 7

Combine like terms: 8 + 7 = 15
2a = 15

Divide each side by '2'.
a = 7.5

Simplifying
a = 7.5

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