0.1(x+52)=-2(5-x)

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Solution for 0.1(x+52)=-2(5-x) equation: 


Simplifying
0.1(x + 52) = -2(5 + -1x)

Reorder the terms:
0.1(52 + x) = -2(5 + -1x)
(52 * 0.1 + x * 0.1) = -2(5 + -1x)
(5.2 + 0.1x) = -2(5 + -1x)
5.2 + 0.1x = (5 * -2 + -1x * -2)
5.2 + 0.1x = (-10 + 2x)

Solving
5.2 + 0.1x = -10 + 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.
5.2 + 0.1x + -2x = -10 + 2x + -2x

Combine like terms: 0.1x + -2x = -1.9x
5.2 + -1.9x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5.2 + -1.9x = -10 + 0
5.2 + -1.9x = -10

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -1.9x = -10 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1.9x = -10 + -5.2
-1.9x = -10 + -5.2

Combine like terms: -10 + -5.2 = -15.2
-1.9x = -15.2

Divide each side by '-1.9'.
x = 8

Simplifying
x = 8

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