.09(7x+14)=1.7-(x+2)

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Solution for .09(7x+14)=1.7-(x+2) equation:


Simplifying
0.09(7x + 14) = 1.7 + -1(x + 2)

Reorder the terms:
0.09(14 + 7x) = 1.7 + -1(x + 2)
(14 * 0.09 + 7x * 0.09) = 1.7 + -1(x + 2)
(1.26 + 0.63x) = 1.7 + -1(x + 2)

Reorder the terms:
1.26 + 0.63x = 1.7 + -1(2 + x)
1.26 + 0.63x = 1.7 + (2 * -1 + x * -1)
1.26 + 0.63x = 1.7 + (-2 + -1x)

Combine like terms: 1.7 + -2 = -0.3
1.26 + 0.63x = -0.3 + -1x

Solving
1.26 + 0.63x = -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.
1.26 + 0.63x + x = -0.3 + -1x + x

Combine like terms: 0.63x + x = 1.63x
1.26 + 1.63x = -0.3 + -1x + x

Combine like terms: -1x + x = 0
1.26 + 1.63x = -0.3 + 0
1.26 + 1.63x = -0.3

Add '-1.26' to each side of the equation.
1.26 + -1.26 + 1.63x = -0.3 + -1.26

Combine like terms: 1.26 + -1.26 = 0.00
0.00 + 1.63x = -0.3 + -1.26
1.63x = -0.3 + -1.26

Combine like terms: -0.3 + -1.26 = -1.56
1.63x = -1.56

Divide each side by '1.63'.
x = -0.9570552147

Simplifying
x = -0.9570552147

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