2x-10=0.33(x-9)

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Solution for 2x-10=0.33(x-9) equation:


Simplifying
2x + -10 = 0.33(x + -9)

Reorder the terms:
-10 + 2x = 0.33(x + -9)

Reorder the terms:
-10 + 2x = 0.33(-9 + x)
-10 + 2x = (-9 * 0.33 + x * 0.33)
-10 + 2x = (-2.97 + 0.33x)

Solving
-10 + 2x = -2.97 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
-10 + 2x + -0.33x = -2.97 + 0.33x + -0.33x

Combine like terms: 2x + -0.33x = 1.67x
-10 + 1.67x = -2.97 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
-10 + 1.67x = -2.97 + 0.00
-10 + 1.67x = -2.97

Add '10' to each side of the equation.
-10 + 10 + 1.67x = -2.97 + 10

Combine like terms: -10 + 10 = 0
0 + 1.67x = -2.97 + 10
1.67x = -2.97 + 10

Combine like terms: -2.97 + 10 = 7.03
1.67x = 7.03

Divide each side by '1.67'.
x = 4.209580838

Simplifying
x = 4.209580838

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