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

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Solution for 0.333(x-1)-0.25(2x-3)=1 equation: 


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

Reorder the terms:
0.333(-1 + x) + -0.25(2x + -3) = 1
(-1 * 0.333 + x * 0.333) + -0.25(2x + -3) = 1
(-0.333 + 0.333x) + -0.25(2x + -3) = 1

Reorder the terms:
-0.333 + 0.333x + -0.25(-3 + 2x) = 1
-0.333 + 0.333x + (-3 * -0.25 + 2x * -0.25) = 1
-0.333 + 0.333x + (0.75 + -0.5x) = 1

Reorder the terms:
-0.333 + 0.75 + 0.333x + -0.5x = 1

Combine like terms: -0.333 + 0.75 = 0.417
0.417 + 0.333x + -0.5x = 1

Combine like terms: 0.333x + -0.5x = -0.167x
0.417 + -0.167x = 1

Solving
0.417 + -0.167x = 1

Solving for variable 'x'.

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

Add '-0.417' to each side of the equation.
0.417 + -0.417 + -0.167x = 1 + -0.417

Combine like terms: 0.417 + -0.417 = 0.000
0.000 + -0.167x = 1 + -0.417
-0.167x = 1 + -0.417

Combine like terms: 1 + -0.417 = 0.583
-0.167x = 0.583

Divide each side by '-0.167'.
x = -3.491017964

Simplifying
x = -3.491017964

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