2a-48=3a-78

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Solution for 2a-48=3a-78 equation:


Simplifying
2a + -48 = 3a + -78

Reorder the terms:
-48 + 2a = 3a + -78

Reorder the terms:
-48 + 2a = -78 + 3a

Solving
-48 + 2a = -78 + 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.
-48 + 2a + -3a = -78 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-48 + -1a = -78 + 3a + -3a

Combine like terms: 3a + -3a = 0
-48 + -1a = -78 + 0
-48 + -1a = -78

Add '48' to each side of the equation.
-48 + 48 + -1a = -78 + 48

Combine like terms: -48 + 48 = 0
0 + -1a = -78 + 48
-1a = -78 + 48

Combine like terms: -78 + 48 = -30
-1a = -30

Divide each side by '-1'.
a = 30

Simplifying
a = 30

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