.14(x+4)=2x-5(3-x)-5

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Solution for .14(x+4)=2x-5(3-x)-5 equation: 


Simplifying
0.14(x + 4) = 2x + -5(3 + -1x) + -5

Reorder the terms:
0.14(4 + x) = 2x + -5(3 + -1x) + -5
(4 * 0.14 + x * 0.14) = 2x + -5(3 + -1x) + -5
(0.56 + 0.14x) = 2x + -5(3 + -1x) + -5
0.56 + 0.14x = 2x + (3 * -5 + -1x * -5) + -5
0.56 + 0.14x = 2x + (-15 + 5x) + -5

Reorder the terms:
0.56 + 0.14x = -15 + -5 + 2x + 5x

Combine like terms: -15 + -5 = -20
0.56 + 0.14x = -20 + 2x + 5x

Combine like terms: 2x + 5x = 7x
0.56 + 0.14x = -20 + 7x

Solving
0.56 + 0.14x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
0.56 + 0.14x + -7x = -20 + 7x + -7x

Combine like terms: 0.14x + -7x = -6.86x
0.56 + -6.86x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
0.56 + -6.86x = -20 + 0
0.56 + -6.86x = -20

Add '-0.56' to each side of the equation.
0.56 + -0.56 + -6.86x = -20 + -0.56

Combine like terms: 0.56 + -0.56 = 0.00
0.00 + -6.86x = -20 + -0.56
-6.86x = -20 + -0.56

Combine like terms: -20 + -0.56 = -20.56
-6.86x = -20.56

Divide each side by '-6.86'.
x = 2.997084548

Simplifying
x = 2.997084548

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