.16=.035+1.85(x-.035)

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Solution for .16=.035+1.85(x-.035) equation:


Simplifying
0.16 = 0.035 + 1.85(x + -0.035)

Reorder the terms:
0.16 = 0.035 + 1.85(-0.035 + x)
0.16 = 0.035 + (-0.035 * 1.85 + x * 1.85)
0.16 = 0.035 + (-0.06475 + 1.85x)

Combine like terms: 0.035 + -0.06475 = -0.02975
0.16 = -0.02975 + 1.85x

Solving
0.16 = -0.02975 + 1.85x

Solving for variable 'x'.

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

Add '-1.85x' to each side of the equation.
0.16 + -1.85x = -0.02975 + 1.85x + -1.85x

Combine like terms: 1.85x + -1.85x = 0.00
0.16 + -1.85x = -0.02975 + 0.00
0.16 + -1.85x = -0.02975

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -1.85x = -0.02975 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -1.85x = -0.02975 + -0.16
-1.85x = -0.02975 + -0.16

Combine like terms: -0.02975 + -0.16 = -0.18975
-1.85x = -0.18975

Divide each side by '-1.85'.
x = 0.1025675676

Simplifying
x = 0.1025675676

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