.33(a-1)=.25(a+4)

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Solution for .33(a-1)=.25(a+4) equation: 


Simplifying
0.33(a + -1) = 0.25(a + 4)

Reorder the terms:
0.33(-1 + a) = 0.25(a + 4)
(-1 * 0.33 + a * 0.33) = 0.25(a + 4)
(-0.33 + 0.33a) = 0.25(a + 4)

Reorder the terms:
-0.33 + 0.33a = 0.25(4 + a)
-0.33 + 0.33a = (4 * 0.25 + a * 0.25)
-0.33 + 0.33a = (1 + 0.25a)

Solving
-0.33 + 0.33a = 1 + 0.25a

Solving for variable 'a'.

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

Add '-0.25a' to each side of the equation.
-0.33 + 0.33a + -0.25a = 1 + 0.25a + -0.25a

Combine like terms: 0.33a + -0.25a = 0.08a
-0.33 + 0.08a = 1 + 0.25a + -0.25a

Combine like terms: 0.25a + -0.25a = 0.00
-0.33 + 0.08a = 1 + 0.00
-0.33 + 0.08a = 1

Add '0.33' to each side of the equation.
-0.33 + 0.33 + 0.08a = 1 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + 0.08a = 1 + 0.33
0.08a = 1 + 0.33

Combine like terms: 1 + 0.33 = 1.33
0.08a = 1.33

Divide each side by '0.08'.
a = 16.625

Simplifying
a = 16.625

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