0.009(4-x)+0.02(x-7)=1

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Solution for 0.009(4-x)+0.02(x-7)=1 equation: 


Simplifying
0.009(4 + -1x) + 0.02(x + -7) = 1
(4 * 0.009 + -1x * 0.009) + 0.02(x + -7) = 1
(0.036 + -0.009x) + 0.02(x + -7) = 1

Reorder the terms:
0.036 + -0.009x + 0.02(-7 + x) = 1
0.036 + -0.009x + (-7 * 0.02 + x * 0.02) = 1
0.036 + -0.009x + (-0.14 + 0.02x) = 1

Reorder the terms:
0.036 + -0.14 + -0.009x + 0.02x = 1

Combine like terms: 0.036 + -0.14 = -0.104
-0.104 + -0.009x + 0.02x = 1

Combine like terms: -0.009x + 0.02x = 0.011x
-0.104 + 0.011x = 1

Solving
-0.104 + 0.011x = 1

Solving for variable 'x'.

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

Add '0.104' to each side of the equation.
-0.104 + 0.104 + 0.011x = 1 + 0.104

Combine like terms: -0.104 + 0.104 = 0.000
0.000 + 0.011x = 1 + 0.104
0.011x = 1 + 0.104

Combine like terms: 1 + 0.104 = 1.104
0.011x = 1.104

Divide each side by '0.011'.
x = 100.3636364

Simplifying
x = 100.3636364

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