0.2(x-1)+0.5(x-9)=3

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Solution for 0.2(x-1)+0.5(x-9)=3 equation: 


Simplifying
0.2(x + -1) + 0.5(x + -9) = 3

Reorder the terms:
0.2(-1 + x) + 0.5(x + -9) = 3
(-1 * 0.2 + x * 0.2) + 0.5(x + -9) = 3
(-0.2 + 0.2x) + 0.5(x + -9) = 3

Reorder the terms:
-0.2 + 0.2x + 0.5(-9 + x) = 3
-0.2 + 0.2x + (-9 * 0.5 + x * 0.5) = 3
-0.2 + 0.2x + (-4.5 + 0.5x) = 3

Reorder the terms:
-0.2 + -4.5 + 0.2x + 0.5x = 3

Combine like terms: -0.2 + -4.5 = -4.7
-4.7 + 0.2x + 0.5x = 3

Combine like terms: 0.2x + 0.5x = 0.7x
-4.7 + 0.7x = 3

Solving
-4.7 + 0.7x = 3

Solving for variable 'x'.

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

Add '4.7' to each side of the equation.
-4.7 + 4.7 + 0.7x = 3 + 4.7

Combine like terms: -4.7 + 4.7 = 0.0
0.0 + 0.7x = 3 + 4.7
0.7x = 3 + 4.7

Combine like terms: 3 + 4.7 = 7.7
0.7x = 7.7

Divide each side by '0.7'.
x = 11

Simplifying
x = 11

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