0.5(x-1)+0.3(x-7)+0.2=0

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Solution for 0.5(x-1)+0.3(x-7)+0.2=0 equation: 


Simplifying
0.5(x + -1) + 0.3(x + -7) + 0.2 = 0

Reorder the terms:
0.5(-1 + x) + 0.3(x + -7) + 0.2 = 0
(-1 * 0.5 + x * 0.5) + 0.3(x + -7) + 0.2 = 0
(-0.5 + 0.5x) + 0.3(x + -7) + 0.2 = 0

Reorder the terms:
-0.5 + 0.5x + 0.3(-7 + x) + 0.2 = 0
-0.5 + 0.5x + (-7 * 0.3 + x * 0.3) + 0.2 = 0
-0.5 + 0.5x + (-2.1 + 0.3x) + 0.2 = 0

Reorder the terms:
-0.5 + -2.1 + 0.2 + 0.5x + 0.3x = 0

Combine like terms: -0.5 + -2.1 = -2.6
-2.6 + 0.2 + 0.5x + 0.3x = 0

Combine like terms: -2.6 + 0.2 = -2.4
-2.4 + 0.5x + 0.3x = 0

Combine like terms: 0.5x + 0.3x = 0.8x
-2.4 + 0.8x = 0

Solving
-2.4 + 0.8x = 0

Solving for variable 'x'.

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

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.8x = 0 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.8x = 0 + 2.4
0.8x = 0 + 2.4

Combine like terms: 0 + 2.4 = 2.4
0.8x = 2.4

Divide each side by '0.8'.
x = 3

Simplifying
x = 3

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