6a-5=3a-38

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Solution for 6a-5=3a-38 equation:


Simplifying
6a + -5 = 3a + -38

Reorder the terms:
-5 + 6a = 3a + -38

Reorder the terms:
-5 + 6a = -38 + 3a

Solving
-5 + 6a = -38 + 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.
-5 + 6a + -3a = -38 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-5 + 3a = -38 + 3a + -3a

Combine like terms: 3a + -3a = 0
-5 + 3a = -38 + 0
-5 + 3a = -38

Add '5' to each side of the equation.
-5 + 5 + 3a = -38 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = -38 + 5
3a = -38 + 5

Combine like terms: -38 + 5 = -33
3a = -33

Divide each side by '3'.
a = -11

Simplifying
a = -11

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