0.7(7x+14)=1.3-(x+2)

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Solution for 0.7(7x+14)=1.3-(x+2) equation: 


Simplifying
0.7(7x + 14) = 1.3 + -1(x + 2)

Reorder the terms:
0.7(14 + 7x) = 1.3 + -1(x + 2)
(14 * 0.7 + 7x * 0.7) = 1.3 + -1(x + 2)
(9.8 + 4.9x) = 1.3 + -1(x + 2)

Reorder the terms:
9.8 + 4.9x = 1.3 + -1(2 + x)
9.8 + 4.9x = 1.3 + (2 * -1 + x * -1)
9.8 + 4.9x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
9.8 + 4.9x = -0.7 + -1x

Solving
9.8 + 4.9x = -0.7 + -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.
9.8 + 4.9x + x = -0.7 + -1x + x

Combine like terms: 4.9x + x = 5.9x
9.8 + 5.9x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
9.8 + 5.9x = -0.7 + 0
9.8 + 5.9x = -0.7

Add '-9.8' to each side of the equation.
9.8 + -9.8 + 5.9x = -0.7 + -9.8

Combine like terms: 9.8 + -9.8 = 0.0
0.0 + 5.9x = -0.7 + -9.8
5.9x = -0.7 + -9.8

Combine like terms: -0.7 + -9.8 = -10.5
5.9x = -10.5

Divide each side by '5.9'.
x = -1.779661017

Simplifying
x = -1.779661017

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