0.006(7-x)+0.04(x-2)=1

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Solution for 0.006(7-x)+0.04(x-2)=1 equation: 


Simplifying
0.006(7 + -1x) + 0.04(x + -2) = 1
(7 * 0.006 + -1x * 0.006) + 0.04(x + -2) = 1
(0.042 + -0.006x) + 0.04(x + -2) = 1

Reorder the terms:
0.042 + -0.006x + 0.04(-2 + x) = 1
0.042 + -0.006x + (-2 * 0.04 + x * 0.04) = 1
0.042 + -0.006x + (-0.08 + 0.04x) = 1

Reorder the terms:
0.042 + -0.08 + -0.006x + 0.04x = 1

Combine like terms: 0.042 + -0.08 = -0.038
-0.038 + -0.006x + 0.04x = 1

Combine like terms: -0.006x + 0.04x = 0.034x
-0.038 + 0.034x = 1

Solving
-0.038 + 0.034x = 1

Solving for variable 'x'.

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

Add '0.038' to each side of the equation.
-0.038 + 0.038 + 0.034x = 1 + 0.038

Combine like terms: -0.038 + 0.038 = 0.000
0.000 + 0.034x = 1 + 0.038
0.034x = 1 + 0.038

Combine like terms: 1 + 0.038 = 1.038
0.034x = 1.038

Divide each side by '0.034'.
x = 30.52941176

Simplifying
x = 30.52941176

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