x+5(2-x)=x+0.2

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Solution for x+5(2-x)=x+0.2 equation:


Simplifying
x + 5(2 + -1x) = x + 0.2
x + (2 * 5 + -1x * 5) = x + 0.2
x + (10 + -5x) = x + 0.2

Reorder the terms:
10 + x + -5x = x + 0.2

Combine like terms: x + -5x = -4x
10 + -4x = x + 0.2

Reorder the terms:
10 + -4x = 0.2 + x

Solving
10 + -4x = 0.2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -4x + -1x = 0.2 + x + -1x

Combine like terms: -4x + -1x = -5x
10 + -5x = 0.2 + x + -1x

Combine like terms: x + -1x = 0
10 + -5x = 0.2 + 0
10 + -5x = 0.2

Add '-10' to each side of the equation.
10 + -10 + -5x = 0.2 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 0.2 + -10
-5x = 0.2 + -10

Combine like terms: 0.2 + -10 = -9.8
-5x = -9.8

Divide each side by '-5'.
x = 1.96

Simplifying
x = 1.96

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