.5(14-x)-0.3(x-4)=17.8

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Solution for .5(14-x)-0.3(x-4)=17.8 equation: 


Simplifying
0.5(14 + -1x) + -0.3(x + -4) = 17.8
(14 * 0.5 + -1x * 0.5) + -0.3(x + -4) = 17.8
(7 + -0.5x) + -0.3(x + -4) = 17.8

Reorder the terms:
7 + -0.5x + -0.3(-4 + x) = 17.8
7 + -0.5x + (-4 * -0.3 + x * -0.3) = 17.8
7 + -0.5x + (1.2 + -0.3x) = 17.8

Reorder the terms:
7 + 1.2 + -0.5x + -0.3x = 17.8

Combine like terms: 7 + 1.2 = 8.2
8.2 + -0.5x + -0.3x = 17.8

Combine like terms: -0.5x + -0.3x = -0.8x
8.2 + -0.8x = 17.8

Solving
8.2 + -0.8x = 17.8

Solving for variable 'x'.

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

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -0.8x = 17.8 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -0.8x = 17.8 + -8.2
-0.8x = 17.8 + -8.2

Combine like terms: 17.8 + -8.2 = 9.6
-0.8x = 9.6

Divide each side by '-0.8'.
x = -12

Simplifying
x = -12

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