0.5*(3+x)-0.2*(0.5x-5)=0

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Solution for 0.5*(3+x)-0.2*(0.5x-5)=0 equation: 


Simplifying
0.5(3 + x) + -0.2(0.5x + -5) = 0
(3 * 0.5 + x * 0.5) + -0.2(0.5x + -5) = 0
(1.5 + 0.5x) + -0.2(0.5x + -5) = 0

Reorder the terms:
1.5 + 0.5x + -0.2(-5 + 0.5x) = 0
1.5 + 0.5x + (-5 * -0.2 + 0.5x * -0.2) = 0
1.5 + 0.5x + (1 + -0.1x) = 0

Reorder the terms:
1.5 + 1 + 0.5x + -0.1x = 0

Combine like terms: 1.5 + 1 = 2.5
2.5 + 0.5x + -0.1x = 0

Combine like terms: 0.5x + -0.1x = 0.4x
2.5 + 0.4x = 0

Solving
2.5 + 0.4x = 0

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.4x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.4x = 0 + -2.5
0.4x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
0.4x = -2.5

Divide each side by '0.4'.
x = -6.25

Simplifying
x = -6.25

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