3a+b=5.25(a+b)

Solution for 3a+b=5.25(a+b) equation:

Simplifying
3a + b = 5.25(a + b)
3a + b = (a * 5.25 + b * 5.25)
3a + b = (5.25a + 5.25b)

Solving
3a + b = 5.25a + 5.25b

Solving for variable 'a'.

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

Add '-5.25a' to each side of the equation.
3a + -5.25a + b = 5.25a + -5.25a + 5.25b

Combine like terms: 3a + -5.25a = -2.25a
-2.25a + b = 5.25a + -5.25a + 5.25b

Combine like terms: 5.25a + -5.25a = 0.00
-2.25a + b = 0.00 + 5.25b
-2.25a + b = 5.25b

Add '-1b' to each side of the equation.
-2.25a + b + -1b = 5.25b + -1b

Combine like terms: b + -1b = 0
-2.25a + 0 = 5.25b + -1b
-2.25a = 5.25b + -1b

Combine like terms: 5.25b + -1b = 4.25b
-2.25a = 4.25b

Divide each side by '-2.25'.
a = -1.888888889b

Simplifying
a = -1.888888889b