2a+b+4=8-2b+3a

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Solution for 2a+b+4=8-2b+3a equation:


Simplifying
2a + b + 4 = 8 + -2b + 3a

Reorder the terms:
4 + 2a + b = 8 + -2b + 3a

Reorder the terms:
4 + 2a + b = 8 + 3a + -2b

Solving
4 + 2a + b = 8 + 3a + -2b

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 + b = 8 + 3a + -3a + -2b

Combine like terms: 2a + -3a = -1a
4 + -1a + b = 8 + 3a + -3a + -2b

Combine like terms: 3a + -3a = 0
4 + -1a + b = 8 + 0 + -2b
4 + -1a + b = 8 + -2b

Add '-4' to each side of the equation.
4 + -1a + -4 + b = 8 + -4 + -2b

Reorder the terms:
4 + -4 + -1a + b = 8 + -4 + -2b

Combine like terms: 4 + -4 = 0
0 + -1a + b = 8 + -4 + -2b
-1a + b = 8 + -4 + -2b

Combine like terms: 8 + -4 = 4
-1a + b = 4 + -2b

Add '-1b' to each side of the equation.
-1a + b + -1b = 4 + -2b + -1b

Combine like terms: b + -1b = 0
-1a + 0 = 4 + -2b + -1b
-1a = 4 + -2b + -1b

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

Divide each side by '-1'.
a = -4 + 3b

Simplifying
a = -4 + 3b

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