0.1(x+53)=-2(4-x)

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Solution for 0.1(x+53)=-2(4-x) equation: 


Simplifying
0.1(x + 53) = -2(4 + -1x)

Reorder the terms:
0.1(53 + x) = -2(4 + -1x)
(53 * 0.1 + x * 0.1) = -2(4 + -1x)
(5.3 + 0.1x) = -2(4 + -1x)
5.3 + 0.1x = (4 * -2 + -1x * -2)
5.3 + 0.1x = (-8 + 2x)

Solving
5.3 + 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.
5.3 + 0.1x + -2x = -8 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
5.3 + -1.9x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
5.3 + -1.9x = -8 + 0
5.3 + -1.9x = -8

Add '-5.3' to each side of the equation.
5.3 + -5.3 + -1.9x = -8 + -5.3

Combine like terms: 5.3 + -5.3 = 0.0
0.0 + -1.9x = -8 + -5.3
-1.9x = -8 + -5.3

Combine like terms: -8 + -5.3 = -13.3
-1.9x = -13.3

Divide each side by '-1.9'.
x = 7

Simplifying
x = 7

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