0.9(7x+14)=1.1-(x+2)

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Solution for 0.9(7x+14)=1.1-(x+2) equation:


Simplifying
0.9(7x + 14) = 1.1 + -1(x + 2)

Reorder the terms:
0.9(14 + 7x) = 1.1 + -1(x + 2)
(14 * 0.9 + 7x * 0.9) = 1.1 + -1(x + 2)
(12.6 + 6.3x) = 1.1 + -1(x + 2)

Reorder the terms:
12.6 + 6.3x = 1.1 + -1(2 + x)
12.6 + 6.3x = 1.1 + (2 * -1 + x * -1)
12.6 + 6.3x = 1.1 + (-2 + -1x)

Combine like terms: 1.1 + -2 = -0.9
12.6 + 6.3x = -0.9 + -1x

Solving
12.6 + 6.3x = -0.9 + -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.
12.6 + 6.3x + x = -0.9 + -1x + x

Combine like terms: 6.3x + x = 7.3x
12.6 + 7.3x = -0.9 + -1x + x

Combine like terms: -1x + x = 0
12.6 + 7.3x = -0.9 + 0
12.6 + 7.3x = -0.9

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 7.3x = -0.9 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 7.3x = -0.9 + -12.6
7.3x = -0.9 + -12.6

Combine like terms: -0.9 + -12.6 = -13.5
7.3x = -13.5

Divide each side by '7.3'.
x = -1.849315068

Simplifying
x = -1.849315068

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