.33x+3=.33(3x+15)

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Solution for .33x+3=.33(3x+15) equation:


Simplifying
0.33x + 3 = 0.33(3x + 15)

Reorder the terms:
3 + 0.33x = 0.33(3x + 15)

Reorder the terms:
3 + 0.33x = 0.33(15 + 3x)
3 + 0.33x = (15 * 0.33 + 3x * 0.33)
3 + 0.33x = (4.95 + 0.99x)

Solving
3 + 0.33x = 4.95 + 0.99x

Solving for variable 'x'.

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

Add '-0.99x' to each side of the equation.
3 + 0.33x + -0.99x = 4.95 + 0.99x + -0.99x

Combine like terms: 0.33x + -0.99x = -0.66x
3 + -0.66x = 4.95 + 0.99x + -0.99x

Combine like terms: 0.99x + -0.99x = 0.00
3 + -0.66x = 4.95 + 0.00
3 + -0.66x = 4.95

Add '-3' to each side of the equation.
3 + -3 + -0.66x = 4.95 + -3

Combine like terms: 3 + -3 = 0
0 + -0.66x = 4.95 + -3
-0.66x = 4.95 + -3

Combine like terms: 4.95 + -3 = 1.95
-0.66x = 1.95

Divide each side by '-0.66'.
x = -2.954545455

Simplifying
x = -2.954545455

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