0.004(7-x)+0.09(x-7)=1

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Solution for 0.004(7-x)+0.09(x-7)=1 equation: 


Simplifying
0.004(7 + -1x) + 0.09(x + -7) = 1
(7 * 0.004 + -1x * 0.004) + 0.09(x + -7) = 1
(0.028 + -0.004x) + 0.09(x + -7) = 1

Reorder the terms:
0.028 + -0.004x + 0.09(-7 + x) = 1
0.028 + -0.004x + (-7 * 0.09 + x * 0.09) = 1
0.028 + -0.004x + (-0.63 + 0.09x) = 1

Reorder the terms:
0.028 + -0.63 + -0.004x + 0.09x = 1

Combine like terms: 0.028 + -0.63 = -0.602
-0.602 + -0.004x + 0.09x = 1

Combine like terms: -0.004x + 0.09x = 0.086x
-0.602 + 0.086x = 1

Solving
-0.602 + 0.086x = 1

Solving for variable 'x'.

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

Add '0.602' to each side of the equation.
-0.602 + 0.602 + 0.086x = 1 + 0.602

Combine like terms: -0.602 + 0.602 = 0.000
0.000 + 0.086x = 1 + 0.602
0.086x = 1 + 0.602

Combine like terms: 1 + 0.602 = 1.602
0.086x = 1.602

Divide each side by '0.086'.
x = 18.62790698

Simplifying
x = 18.62790698

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