0.2(x-6)+0.005(x+2)=0.6

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Solution for 0.2(x-6)+0.005(x+2)=0.6 equation: 


Simplifying
0.2(x + -6) + 0.005(x + 2) = 0.6

Reorder the terms:
0.2(-6 + x) + 0.005(x + 2) = 0.6
(-6 * 0.2 + x * 0.2) + 0.005(x + 2) = 0.6
(-1.2 + 0.2x) + 0.005(x + 2) = 0.6

Reorder the terms:
-1.2 + 0.2x + 0.005(2 + x) = 0.6
-1.2 + 0.2x + (2 * 0.005 + x * 0.005) = 0.6
-1.2 + 0.2x + (0.01 + 0.005x) = 0.6

Reorder the terms:
-1.2 + 0.01 + 0.2x + 0.005x = 0.6

Combine like terms: -1.2 + 0.01 = -1.19
-1.19 + 0.2x + 0.005x = 0.6

Combine like terms: 0.2x + 0.005x = 0.205x
-1.19 + 0.205x = 0.6

Solving
-1.19 + 0.205x = 0.6

Solving for variable 'x'.

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

Add '1.19' to each side of the equation.
-1.19 + 1.19 + 0.205x = 0.6 + 1.19

Combine like terms: -1.19 + 1.19 = 0.00
0.00 + 0.205x = 0.6 + 1.19
0.205x = 0.6 + 1.19

Combine like terms: 0.6 + 1.19 = 1.79
0.205x = 1.79

Divide each side by '0.205'.
x = 8.731707317

Simplifying
x = 8.731707317

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