6a-5=4a+10

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Solution for 6a-5=4a+10 equation:


Simplifying
6a + -5 = 4a + 10

Reorder the terms:
-5 + 6a = 4a + 10

Reorder the terms:
-5 + 6a = 10 + 4a

Solving
-5 + 6a = 10 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-5 + 6a + -4a = 10 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-5 + 2a = 10 + 4a + -4a

Combine like terms: 4a + -4a = 0
-5 + 2a = 10 + 0
-5 + 2a = 10

Add '5' to each side of the equation.
-5 + 5 + 2a = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 2a = 10 + 5
2a = 10 + 5

Combine like terms: 10 + 5 = 15
2a = 15

Divide each side by '2'.
a = 7.5

Simplifying
a = 7.5

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