2a+4=3a-6

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Solution for 2a+4=3a-6 equation:


Simplifying
2a + 4 = 3a + -6

Reorder the terms:
4 + 2a = 3a + -6

Reorder the terms:
4 + 2a = -6 + 3a

Solving
4 + 2a = -6 + 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.
4 + 2a + -3a = -6 + 3a + -3a

Combine like terms: 2a + -3a = -1a
4 + -1a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
4 + -1a = -6 + 0
4 + -1a = -6

Add '-4' to each side of the equation.
4 + -4 + -1a = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = -6 + -4
-1a = -6 + -4

Combine like terms: -6 + -4 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10

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