10a-53=9a-46

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Solution for 10a-53=9a-46 equation:


Simplifying
10a + -53 = 9a + -46

Reorder the terms:
-53 + 10a = 9a + -46

Reorder the terms:
-53 + 10a = -46 + 9a

Solving
-53 + 10a = -46 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-53 + 10a + -9a = -46 + 9a + -9a

Combine like terms: 10a + -9a = 1a
-53 + 1a = -46 + 9a + -9a

Combine like terms: 9a + -9a = 0
-53 + 1a = -46 + 0
-53 + 1a = -46

Add '53' to each side of the equation.
-53 + 53 + 1a = -46 + 53

Combine like terms: -53 + 53 = 0
0 + 1a = -46 + 53
1a = -46 + 53

Combine like terms: -46 + 53 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7

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