3a-14=-5a+10

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Solution for 3a-14=-5a+10 equation:


Simplifying
3a + -14 = -5a + 10

Reorder the terms:
-14 + 3a = -5a + 10

Reorder the terms:
-14 + 3a = 10 + -5a

Solving
-14 + 3a = 10 + -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.
-14 + 3a + 5a = 10 + -5a + 5a

Combine like terms: 3a + 5a = 8a
-14 + 8a = 10 + -5a + 5a

Combine like terms: -5a + 5a = 0
-14 + 8a = 10 + 0
-14 + 8a = 10

Add '14' to each side of the equation.
-14 + 14 + 8a = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 8a = 10 + 14
8a = 10 + 14

Combine like terms: 10 + 14 = 24
8a = 24

Divide each side by '8'.
a = 3

Simplifying
a = 3

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