0.33(x-1)-0.25(2x-3)=1

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Solution for 0.33(x-1)-0.25(2x-3)=1 equation: 


Simplifying
0.33(x + -1) + -0.25(2x + -3) = 1

Reorder the terms:
0.33(-1 + x) + -0.25(2x + -3) = 1
(-1 * 0.33 + x * 0.33) + -0.25(2x + -3) = 1
(-0.33 + 0.33x) + -0.25(2x + -3) = 1

Reorder the terms:
-0.33 + 0.33x + -0.25(-3 + 2x) = 1
-0.33 + 0.33x + (-3 * -0.25 + 2x * -0.25) = 1
-0.33 + 0.33x + (0.75 + -0.5x) = 1

Reorder the terms:
-0.33 + 0.75 + 0.33x + -0.5x = 1

Combine like terms: -0.33 + 0.75 = 0.42
0.42 + 0.33x + -0.5x = 1

Combine like terms: 0.33x + -0.5x = -0.17x
0.42 + -0.17x = 1

Solving
0.42 + -0.17x = 1

Solving for variable 'x'.

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

Add '-0.42' to each side of the equation.
0.42 + -0.42 + -0.17x = 1 + -0.42

Combine like terms: 0.42 + -0.42 = 0.00
0.00 + -0.17x = 1 + -0.42
-0.17x = 1 + -0.42

Combine like terms: 1 + -0.42 = 0.58
-0.17x = 0.58

Divide each side by '-0.17'.
x = -3.411764706

Simplifying
x = -3.411764706

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