0.6(7x+14)=1.7-(x+2)

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Solution for 0.6(7x+14)=1.7-(x+2) equation: 


Simplifying
0.6(7x + 14) = 1.7 + -1(x + 2)

Reorder the terms:
0.6(14 + 7x) = 1.7 + -1(x + 2)
(14 * 0.6 + 7x * 0.6) = 1.7 + -1(x + 2)
(8.4 + 4.2x) = 1.7 + -1(x + 2)

Reorder the terms:
8.4 + 4.2x = 1.7 + -1(2 + x)
8.4 + 4.2x = 1.7 + (2 * -1 + x * -1)
8.4 + 4.2x = 1.7 + (-2 + -1x)

Combine like terms: 1.7 + -2 = -0.3
8.4 + 4.2x = -0.3 + -1x

Solving
8.4 + 4.2x = -0.3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8.4 + 4.2x + x = -0.3 + -1x + x

Combine like terms: 4.2x + x = 5.2x
8.4 + 5.2x = -0.3 + -1x + x

Combine like terms: -1x + x = 0
8.4 + 5.2x = -0.3 + 0
8.4 + 5.2x = -0.3

Add '-8.4' to each side of the equation.
8.4 + -8.4 + 5.2x = -0.3 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + 5.2x = -0.3 + -8.4
5.2x = -0.3 + -8.4

Combine like terms: -0.3 + -8.4 = -8.7
5.2x = -8.7

Divide each side by '5.2'.
x = -1.673076923

Simplifying
x = -1.673076923

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