.1(x+91)=-2(4-x)

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Solution for .1(x+91)=-2(4-x) equation: 


Simplifying
0.1(x + 91) = -2(4 + -1x)

Reorder the terms:
0.1(91 + x) = -2(4 + -1x)
(91 * 0.1 + x * 0.1) = -2(4 + -1x)
(9.1 + 0.1x) = -2(4 + -1x)
9.1 + 0.1x = (4 * -2 + -1x * -2)
9.1 + 0.1x = (-8 + 2x)

Solving
9.1 + 0.1x = -8 + 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.
9.1 + 0.1x + -2x = -8 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
9.1 + -1.9x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
9.1 + -1.9x = -8 + 0
9.1 + -1.9x = -8

Add '-9.1' to each side of the equation.
9.1 + -9.1 + -1.9x = -8 + -9.1

Combine like terms: 9.1 + -9.1 = 0.0
0.0 + -1.9x = -8 + -9.1
-1.9x = -8 + -9.1

Combine like terms: -8 + -9.1 = -17.1
-1.9x = -17.1

Divide each side by '-1.9'.
x = 9

Simplifying
x = 9

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