0.2(x-2)+0.5(x+5)=0

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Solution for 0.2(x-2)+0.5(x+5)=0 equation: 


Simplifying
0.2(x + -2) + 0.5(x + 5) = 0

Reorder the terms:
0.2(-2 + x) + 0.5(x + 5) = 0
(-2 * 0.2 + x * 0.2) + 0.5(x + 5) = 0
(-0.4 + 0.2x) + 0.5(x + 5) = 0

Reorder the terms:
-0.4 + 0.2x + 0.5(5 + x) = 0
-0.4 + 0.2x + (5 * 0.5 + x * 0.5) = 0
-0.4 + 0.2x + (2.5 + 0.5x) = 0

Reorder the terms:
-0.4 + 2.5 + 0.2x + 0.5x = 0

Combine like terms: -0.4 + 2.5 = 2.1
2.1 + 0.2x + 0.5x = 0

Combine like terms: 0.2x + 0.5x = 0.7x
2.1 + 0.7x = 0

Solving
2.1 + 0.7x = 0

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 0.7x = 0 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 0.7x = 0 + -2.1
0.7x = 0 + -2.1

Combine like terms: 0 + -2.1 = -2.1
0.7x = -2.1

Divide each side by '0.7'.
x = -3

Simplifying
x = -3

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