2a+4=5a-8

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Solution for 2a+4=5a-8 equation:


Simplifying
2a + 4 = 5a + -8

Reorder the terms:
4 + 2a = 5a + -8

Reorder the terms:
4 + 2a = -8 + 5a

Solving
4 + 2a = -8 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
4 + 2a + -5a = -8 + 5a + -5a

Combine like terms: 2a + -5a = -3a
4 + -3a = -8 + 5a + -5a

Combine like terms: 5a + -5a = 0
4 + -3a = -8 + 0
4 + -3a = -8

Add '-4' to each side of the equation.
4 + -4 + -3a = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = -8 + -4
-3a = -8 + -4

Combine like terms: -8 + -4 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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