0.5(4x+6)=0.33(9-3x)

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Solution for 0.5(4x+6)=0.33(9-3x) equation: 


Simplifying
0.5(4x + 6) = 0.33(9 + -3x)

Reorder the terms:
0.5(6 + 4x) = 0.33(9 + -3x)
(6 * 0.5 + 4x * 0.5) = 0.33(9 + -3x)
(3 + 2x) = 0.33(9 + -3x)
3 + 2x = (9 * 0.33 + -3x * 0.33)
3 + 2x = (2.97 + -0.99x)

Solving
3 + 2x = 2.97 + -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 + 2x + 0.99x = 2.97 + -0.99x + 0.99x

Combine like terms: 2x + 0.99x = 2.99x
3 + 2.99x = 2.97 + -0.99x + 0.99x

Combine like terms: -0.99x + 0.99x = 0.00
3 + 2.99x = 2.97 + 0.00
3 + 2.99x = 2.97

Add '-3' to each side of the equation.
3 + -3 + 2.99x = 2.97 + -3

Combine like terms: 3 + -3 = 0
0 + 2.99x = 2.97 + -3
2.99x = 2.97 + -3

Combine like terms: 2.97 + -3 = -0.03
2.99x = -0.03

Divide each side by '2.99'.
x = -0.01003344482

Simplifying
x = -0.01003344482

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