0.83(4x+6)=0.33x-4

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Solution for 0.83(4x+6)=0.33x-4 equation: 


Simplifying
0.83(4x + 6) = 0.33x + -4

Reorder the terms:
0.83(6 + 4x) = 0.33x + -4
(6 * 0.83 + 4x * 0.83) = 0.33x + -4
(4.98 + 3.32x) = 0.33x + -4

Reorder the terms:
4.98 + 3.32x = -4 + 0.33x

Solving
4.98 + 3.32x = -4 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
4.98 + 3.32x + -0.33x = -4 + 0.33x + -0.33x

Combine like terms: 3.32x + -0.33x = 2.99x
4.98 + 2.99x = -4 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
4.98 + 2.99x = -4 + 0.00
4.98 + 2.99x = -4

Add '-4.98' to each side of the equation.
4.98 + -4.98 + 2.99x = -4 + -4.98

Combine like terms: 4.98 + -4.98 = 0.00
0.00 + 2.99x = -4 + -4.98
2.99x = -4 + -4.98

Combine like terms: -4 + -4.98 = -8.98
2.99x = -8.98

Divide each side by '2.99'.
x = -3.003344482

Simplifying
x = -3.003344482

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