6a-10=3a+7

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Solution for 6a-10=3a+7 equation:


Simplifying
6a + -10 = 3a + 7

Reorder the terms:
-10 + 6a = 3a + 7

Reorder the terms:
-10 + 6a = 7 + 3a

Solving
-10 + 6a = 7 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-10 + 6a + -3a = 7 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-10 + 3a = 7 + 3a + -3a

Combine like terms: 3a + -3a = 0
-10 + 3a = 7 + 0
-10 + 3a = 7

Add '10' to each side of the equation.
-10 + 10 + 3a = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 3a = 7 + 10
3a = 7 + 10

Combine like terms: 7 + 10 = 17
3a = 17

Divide each side by '3'.
a = 5.666666667

Simplifying
a = 5.666666667

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