0.6666(x+3)=3x-4

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Solution for 0.6666(x+3)=3x-4 equation: 


Simplifying
0.6666(x + 3) = 3x + -4

Reorder the terms:
0.6666(3 + x) = 3x + -4
(3 * 0.6666 + x * 0.6666) = 3x + -4
(1.9998 + 0.6666x) = 3x + -4

Reorder the terms:
1.9998 + 0.6666x = -4 + 3x

Solving
1.9998 + 0.6666x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1.9998 + 0.6666x + -3x = -4 + 3x + -3x

Combine like terms: 0.6666x + -3x = -2.3334x
1.9998 + -2.3334x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
1.9998 + -2.3334x = -4 + 0
1.9998 + -2.3334x = -4

Add '-1.9998' to each side of the equation.
1.9998 + -1.9998 + -2.3334x = -4 + -1.9998

Combine like terms: 1.9998 + -1.9998 = 0.0000
0.0000 + -2.3334x = -4 + -1.9998
-2.3334x = -4 + -1.9998

Combine like terms: -4 + -1.9998 = -5.9998
-2.3334x = -5.9998

Divide each side by '-2.3334'.
x = 2.571269392

Simplifying
x = 2.571269392

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