0.6(7x+14)=1.2(x+2)

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Solution for 0.6(7x+14)=1.2(x+2) equation: 


Simplifying
0.6(7x + 14) = 1.2(x + 2)

Reorder the terms:
0.6(14 + 7x) = 1.2(x + 2)
(14 * 0.6 + 7x * 0.6) = 1.2(x + 2)
(8.4 + 4.2x) = 1.2(x + 2)

Reorder the terms:
8.4 + 4.2x = 1.2(2 + x)
8.4 + 4.2x = (2 * 1.2 + x * 1.2)
8.4 + 4.2x = (2.4 + 1.2x)

Solving
8.4 + 4.2x = 2.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
8.4 + 4.2x + -1.2x = 2.4 + 1.2x + -1.2x

Combine like terms: 4.2x + -1.2x = 3x
8.4 + 3x = 2.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
8.4 + 3x = 2.4 + 0.0
8.4 + 3x = 2.4

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 3x = 2.4 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 3x = 2.4 + -8.4
3x = 2.4 + -8.4

Combine like terms: 2.4 + -8.4 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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