3b+a+2=b+5a-50

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Solution for 3b+a+2=b+5a-50 equation:


Simplifying
3b + a + 2 = b + 5a + -50

Reorder the terms:
2 + a + 3b = b + 5a + -50

Reorder the terms:
2 + a + 3b = -50 + 5a + b

Solving
2 + a + 3b = -50 + 5a + b

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.
2 + a + -5a + 3b = -50 + 5a + -5a + b

Combine like terms: a + -5a = -4a
2 + -4a + 3b = -50 + 5a + -5a + b

Combine like terms: 5a + -5a = 0
2 + -4a + 3b = -50 + 0 + b
2 + -4a + 3b = -50 + b

Add '-2' to each side of the equation.
2 + -4a + -2 + 3b = -50 + -2 + b

Reorder the terms:
2 + -2 + -4a + 3b = -50 + -2 + b

Combine like terms: 2 + -2 = 0
0 + -4a + 3b = -50 + -2 + b
-4a + 3b = -50 + -2 + b

Combine like terms: -50 + -2 = -52
-4a + 3b = -52 + b

Add '-3b' to each side of the equation.
-4a + 3b + -3b = -52 + b + -3b

Combine like terms: 3b + -3b = 0
-4a + 0 = -52 + b + -3b
-4a = -52 + b + -3b

Combine like terms: b + -3b = -2b
-4a = -52 + -2b

Divide each side by '-4'.
a = 13 + 0.5b

Simplifying
a = 13 + 0.5b

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