.33(x+3)=.25(3x+2)

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Solution for .33(x+3)=.25(3x+2) equation: 


Simplifying
0.33(x + 3) = 0.25(3x + 2)

Reorder the terms:
0.33(3 + x) = 0.25(3x + 2)
(3 * 0.33 + x * 0.33) = 0.25(3x + 2)
(0.99 + 0.33x) = 0.25(3x + 2)

Reorder the terms:
0.99 + 0.33x = 0.25(2 + 3x)
0.99 + 0.33x = (2 * 0.25 + 3x * 0.25)
0.99 + 0.33x = (0.5 + 0.75x)

Solving
0.99 + 0.33x = 0.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
0.99 + 0.33x + -0.75x = 0.5 + 0.75x + -0.75x

Combine like terms: 0.33x + -0.75x = -0.42x
0.99 + -0.42x = 0.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
0.99 + -0.42x = 0.5 + 0.00
0.99 + -0.42x = 0.5

Add '-0.99' to each side of the equation.
0.99 + -0.99 + -0.42x = 0.5 + -0.99

Combine like terms: 0.99 + -0.99 = 0.00
0.00 + -0.42x = 0.5 + -0.99
-0.42x = 0.5 + -0.99

Combine like terms: 0.5 + -0.99 = -0.49
-0.42x = -0.49

Divide each side by '-0.42'.
x = 1.166666667

Simplifying
x = 1.166666667

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