.75(4-x)=.66(9-3x)

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Solution for .75(4-x)=.66(9-3x) equation:


Simplifying
0.75(4 + -1x) = 0.66(9 + -3x)
(4 * 0.75 + -1x * 0.75) = 0.66(9 + -3x)
(3 + -0.75x) = 0.66(9 + -3x)
3 + -0.75x = (9 * 0.66 + -3x * 0.66)
3 + -0.75x = (5.94 + -1.98x)

Solving
3 + -0.75x = 5.94 + -1.98x

Solving for variable 'x'.

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

Add '1.98x' to each side of the equation.
3 + -0.75x + 1.98x = 5.94 + -1.98x + 1.98x

Combine like terms: -0.75x + 1.98x = 1.23x
3 + 1.23x = 5.94 + -1.98x + 1.98x

Combine like terms: -1.98x + 1.98x = 0.00
3 + 1.23x = 5.94 + 0.00
3 + 1.23x = 5.94

Add '-3' to each side of the equation.
3 + -3 + 1.23x = 5.94 + -3

Combine like terms: 3 + -3 = 0
0 + 1.23x = 5.94 + -3
1.23x = 5.94 + -3

Combine like terms: 5.94 + -3 = 2.94
1.23x = 2.94

Divide each side by '1.23'.
x = 2.390243902

Simplifying
x = 2.390243902

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