.33(x-1)=5x-4(x-1)+1.66

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Solution for .33(x-1)=5x-4(x-1)+1.66 equation:


Simplifying
0.33(x + -1) = 5x + -4(x + -1) + 1.66

Reorder the terms:
0.33(-1 + x) = 5x + -4(x + -1) + 1.66
(-1 * 0.33 + x * 0.33) = 5x + -4(x + -1) + 1.66
(-0.33 + 0.33x) = 5x + -4(x + -1) + 1.66

Reorder the terms:
-0.33 + 0.33x = 5x + -4(-1 + x) + 1.66
-0.33 + 0.33x = 5x + (-1 * -4 + x * -4) + 1.66
-0.33 + 0.33x = 5x + (4 + -4x) + 1.66

Reorder the terms:
-0.33 + 0.33x = 4 + 1.66 + 5x + -4x

Combine like terms: 4 + 1.66 = 5.66
-0.33 + 0.33x = 5.66 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-0.33 + 0.33x = 5.66 + 1x

Solving
-0.33 + 0.33x = 5.66 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-0.33 + 0.33x + -1x = 5.66 + 1x + -1x

Combine like terms: 0.33x + -1x = -0.67x
-0.33 + -0.67x = 5.66 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.33 + -0.67x = 5.66 + 0
-0.33 + -0.67x = 5.66

Add '0.33' to each side of the equation.
-0.33 + 0.33 + -0.67x = 5.66 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + -0.67x = 5.66 + 0.33
-0.67x = 5.66 + 0.33

Combine like terms: 5.66 + 0.33 = 5.99
-0.67x = 5.99

Divide each side by '-0.67'.
x = -8.940298507

Simplifying
x = -8.940298507

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