.25(3x+8)=.33(2x-9)

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Solution for .25(3x+8)=.33(2x-9) equation: 


Simplifying
0.25(3x + 8) = 0.33(2x + -9)

Reorder the terms:
0.25(8 + 3x) = 0.33(2x + -9)
(8 * 0.25 + 3x * 0.25) = 0.33(2x + -9)
(2 + 0.75x) = 0.33(2x + -9)

Reorder the terms:
2 + 0.75x = 0.33(-9 + 2x)
2 + 0.75x = (-9 * 0.33 + 2x * 0.33)
2 + 0.75x = (-2.97 + 0.66x)

Solving
2 + 0.75x = -2.97 + 0.66x

Solving for variable 'x'.

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

Add '-0.66x' to each side of the equation.
2 + 0.75x + -0.66x = -2.97 + 0.66x + -0.66x

Combine like terms: 0.75x + -0.66x = 0.09x
2 + 0.09x = -2.97 + 0.66x + -0.66x

Combine like terms: 0.66x + -0.66x = 0.00
2 + 0.09x = -2.97 + 0.00
2 + 0.09x = -2.97

Add '-2' to each side of the equation.
2 + -2 + 0.09x = -2.97 + -2

Combine like terms: 2 + -2 = 0
0 + 0.09x = -2.97 + -2
0.09x = -2.97 + -2

Combine like terms: -2.97 + -2 = -4.97
0.09x = -4.97

Divide each side by '0.09'.
x = -55.22222222

Simplifying
x = -55.22222222

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