3a+5=8a-10

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Solution for 3a+5=8a-10 equation:


Simplifying
3a + 5 = 8a + -10

Reorder the terms:
5 + 3a = 8a + -10

Reorder the terms:
5 + 3a = -10 + 8a

Solving
5 + 3a = -10 + 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.
5 + 3a + -8a = -10 + 8a + -8a

Combine like terms: 3a + -8a = -5a
5 + -5a = -10 + 8a + -8a

Combine like terms: 8a + -8a = 0
5 + -5a = -10 + 0
5 + -5a = -10

Add '-5' to each side of the equation.
5 + -5 + -5a = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -5a = -10 + -5
-5a = -10 + -5

Combine like terms: -10 + -5 = -15
-5a = -15

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

Simplifying
a = 3

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