0.4(2x+6)=2(2-3x)+12

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Solution for 0.4(2x+6)=2(2-3x)+12 equation:


Simplifying
0.4(2x + 6) = 2(2 + -3x) + 12

Reorder the terms:
0.4(6 + 2x) = 2(2 + -3x) + 12
(6 * 0.4 + 2x * 0.4) = 2(2 + -3x) + 12
(2.4 + 0.8x) = 2(2 + -3x) + 12
2.4 + 0.8x = (2 * 2 + -3x * 2) + 12
2.4 + 0.8x = (4 + -6x) + 12

Reorder the terms:
2.4 + 0.8x = 4 + 12 + -6x

Combine like terms: 4 + 12 = 16
2.4 + 0.8x = 16 + -6x

Solving
2.4 + 0.8x = 16 + -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.
2.4 + 0.8x + 6x = 16 + -6x + 6x

Combine like terms: 0.8x + 6x = 6.8x
2.4 + 6.8x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
2.4 + 6.8x = 16 + 0
2.4 + 6.8x = 16

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 6.8x = 16 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 6.8x = 16 + -2.4
6.8x = 16 + -2.4

Combine like terms: 16 + -2.4 = 13.6
6.8x = 13.6

Divide each side by '6.8'.
x = 2

Simplifying
x = 2

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