.1(x+17)=-2(2-x)

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Solution for .1(x+17)=-2(2-x) equation: 


Simplifying
0.1(x + 17) = -2(2 + -1x)

Reorder the terms:
0.1(17 + x) = -2(2 + -1x)
(17 * 0.1 + x * 0.1) = -2(2 + -1x)
(1.7 + 0.1x) = -2(2 + -1x)
1.7 + 0.1x = (2 * -2 + -1x * -2)
1.7 + 0.1x = (-4 + 2x)

Solving
1.7 + 0.1x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.7 + 0.1x + -2x = -4 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
1.7 + -1.9x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.7 + -1.9x = -4 + 0
1.7 + -1.9x = -4

Add '-1.7' to each side of the equation.
1.7 + -1.7 + -1.9x = -4 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + -1.9x = -4 + -1.7
-1.9x = -4 + -1.7

Combine like terms: -4 + -1.7 = -5.7
-1.9x = -5.7

Divide each side by '-1.9'.
x = 3

Simplifying
x = 3

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