0.6(2x+6)=3(4-2x)+6

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Solution for 0.6(2x+6)=3(4-2x)+6 equation:


Simplifying
0.6(2x + 6) = 3(4 + -2x) + 6

Reorder the terms:
0.6(6 + 2x) = 3(4 + -2x) + 6
(6 * 0.6 + 2x * 0.6) = 3(4 + -2x) + 6
(3.6 + 1.2x) = 3(4 + -2x) + 6
3.6 + 1.2x = (4 * 3 + -2x * 3) + 6
3.6 + 1.2x = (12 + -6x) + 6

Reorder the terms:
3.6 + 1.2x = 12 + 6 + -6x

Combine like terms: 12 + 6 = 18
3.6 + 1.2x = 18 + -6x

Solving
3.6 + 1.2x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3.6 + 1.2x + 6x = 18 + -6x + 6x

Combine like terms: 1.2x + 6x = 7.2x
3.6 + 7.2x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
3.6 + 7.2x = 18 + 0
3.6 + 7.2x = 18

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 7.2x = 18 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 7.2x = 18 + -3.6
7.2x = 18 + -3.6

Combine like terms: 18 + -3.6 = 14.4
7.2x = 14.4

Divide each side by '7.2'.
x = 2

Simplifying
x = 2

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