0.5(x+0.1)-0.1(x-0.5)=

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Solution for 0.5(x+0.1)-0.1(x-0.5)= equation: 


Simplifying
0.5(x + 0.1) + -0.1(x + -0.5) = 0

Reorder the terms:
0.5(0.1 + x) + -0.1(x + -0.5) = 0
(0.1 * 0.5 + x * 0.5) + -0.1(x + -0.5) = 0
(0.05 + 0.5x) + -0.1(x + -0.5) = 0

Reorder the terms:
0.05 + 0.5x + -0.1(-0.5 + x) = 0
0.05 + 0.5x + (-0.5 * -0.1 + x * -0.1) = 0
0.05 + 0.5x + (0.05 + -0.1x) = 0

Reorder the terms:
0.05 + 0.05 + 0.5x + -0.1x = 0

Combine like terms: 0.05 + 0.05 = 0.1
0.1 + 0.5x + -0.1x = 0

Combine like terms: 0.5x + -0.1x = 0.4x
0.1 + 0.4x = 0

Solving
0.1 + 0.4x = 0

Solving for variable 'x'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.4x = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.4x = 0 + -0.1
0.4x = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
0.4x = -0.1

Divide each side by '0.4'.
x = -0.25

Simplifying
x = -0.25

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