2.4(3x+2)+0.3(x+4)=6.6

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Solution for 2.4(3x+2)+0.3(x+4)=6.6 equation: 


Simplifying
2.4(3x + 2) + 0.3(x + 4) = 6.6

Reorder the terms:
2.4(2 + 3x) + 0.3(x + 4) = 6.6
(2 * 2.4 + 3x * 2.4) + 0.3(x + 4) = 6.6
(4.8 + 7.2x) + 0.3(x + 4) = 6.6

Reorder the terms:
4.8 + 7.2x + 0.3(4 + x) = 6.6
4.8 + 7.2x + (4 * 0.3 + x * 0.3) = 6.6
4.8 + 7.2x + (1.2 + 0.3x) = 6.6

Reorder the terms:
4.8 + 1.2 + 7.2x + 0.3x = 6.6

Combine like terms: 4.8 + 1.2 = 6
6 + 7.2x + 0.3x = 6.6

Combine like terms: 7.2x + 0.3x = 7.5x
6 + 7.5x = 6.6

Solving
6 + 7.5x = 6.6

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7.5x = 6.6 + -6

Combine like terms: 6 + -6 = 0
0 + 7.5x = 6.6 + -6
7.5x = 6.6 + -6

Combine like terms: 6.6 + -6 = 0.6
7.5x = 0.6

Divide each side by '7.5'.
x = 0.08

Simplifying
x = 0.08

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