32.5=0.1(x-200)+6

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Solution for 32.5=0.1(x-200)+6 equation: 


Simplifying
32.5 = 0.1(x + -200) + 6

Reorder the terms:
32.5 = 0.1(-200 + x) + 6
32.5 = (-200 * 0.1 + x * 0.1) + 6
32.5 = (-20 + 0.1x) + 6

Reorder the terms:
32.5 = -20 + 6 + 0.1x

Combine like terms: -20 + 6 = -14
32.5 = -14 + 0.1x

Solving
32.5 = -14 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
32.5 + -0.1x = -14 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
32.5 + -0.1x = -14 + 0.0
32.5 + -0.1x = -14

Add '-32.5' to each side of the equation.
32.5 + -32.5 + -0.1x = -14 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + -0.1x = -14 + -32.5
-0.1x = -14 + -32.5

Combine like terms: -14 + -32.5 = -46.5
-0.1x = -46.5

Divide each side by '-0.1'.
x = 465

Simplifying
x = 465

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