.5(x-2)+.4(x+3)-.2=

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Solution for .5(x-2)+.4(x+3)-.2= equation: 


Simplifying
0.5(x + -2) + 0.4(x + 3) + -0.2 = 0

Reorder the terms:
0.5(-2 + x) + 0.4(x + 3) + -0.2 = 0
(-2 * 0.5 + x * 0.5) + 0.4(x + 3) + -0.2 = 0
(-1 + 0.5x) + 0.4(x + 3) + -0.2 = 0

Reorder the terms:
-1 + 0.5x + 0.4(3 + x) + -0.2 = 0
-1 + 0.5x + (3 * 0.4 + x * 0.4) + -0.2 = 0
-1 + 0.5x + (1.2 + 0.4x) + -0.2 = 0

Reorder the terms:
-1 + 1.2 + -0.2 + 0.5x + 0.4x = 0

Combine like terms: -1 + 1.2 = 0.2
0.2 + -0.2 + 0.5x + 0.4x = 0

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.5x + 0.4x = 0
0.5x + 0.4x = 0

Combine like terms: 0.5x + 0.4x = 0.9x
0.9x = 0

Solving
0.9x = 0

Solving for variable 'x'.

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

Divide each side by '0.9'.
x = 0

Simplifying
x = 0

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