.1(x+67)=-2(9-x)

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Solution for .1(x+67)=-2(9-x) equation: 


Simplifying
0.1(x + 67) = -2(9 + -1x)

Reorder the terms:
0.1(67 + x) = -2(9 + -1x)
(67 * 0.1 + x * 0.1) = -2(9 + -1x)
(6.7 + 0.1x) = -2(9 + -1x)
6.7 + 0.1x = (9 * -2 + -1x * -2)
6.7 + 0.1x = (-18 + 2x)

Solving
6.7 + 0.1x = -18 + 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.
6.7 + 0.1x + -2x = -18 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
6.7 + -1.9x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
6.7 + -1.9x = -18 + 0
6.7 + -1.9x = -18

Add '-6.7' to each side of the equation.
6.7 + -6.7 + -1.9x = -18 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + -1.9x = -18 + -6.7
-1.9x = -18 + -6.7

Combine like terms: -18 + -6.7 = -24.7
-1.9x = -24.7

Divide each side by '-1.9'.
x = 13

Simplifying
x = 13

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