5a+8=8a-7

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Solution for 5a+8=8a-7 equation:


Simplifying
5a + 8 = 8a + -7

Reorder the terms:
8 + 5a = 8a + -7

Reorder the terms:
8 + 5a = -7 + 8a

Solving
8 + 5a = -7 + 8a

Solving for variable 'a'.

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

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

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

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

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

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

Combine like terms: -7 + -8 = -15
-3a = -15

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

Simplifying
a = 5

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