.33(x-3)=5x-4(x-1)+7.66

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Solution for .33(x-3)=5x-4(x-1)+7.66 equation:


Simplifying
0.33(x + -3) = 5x + -4(x + -1) + 7.66

Reorder the terms:
0.33(-3 + x) = 5x + -4(x + -1) + 7.66
(-3 * 0.33 + x * 0.33) = 5x + -4(x + -1) + 7.66
(-0.99 + 0.33x) = 5x + -4(x + -1) + 7.66

Reorder the terms:
-0.99 + 0.33x = 5x + -4(-1 + x) + 7.66
-0.99 + 0.33x = 5x + (-1 * -4 + x * -4) + 7.66
-0.99 + 0.33x = 5x + (4 + -4x) + 7.66

Reorder the terms:
-0.99 + 0.33x = 4 + 7.66 + 5x + -4x

Combine like terms: 4 + 7.66 = 11.66
-0.99 + 0.33x = 11.66 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-0.99 + 0.33x = 11.66 + 1x

Solving
-0.99 + 0.33x = 11.66 + 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.
-0.99 + 0.33x + -1x = 11.66 + 1x + -1x

Combine like terms: 0.33x + -1x = -0.67x
-0.99 + -0.67x = 11.66 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.99 + -0.67x = 11.66 + 0
-0.99 + -0.67x = 11.66

Add '0.99' to each side of the equation.
-0.99 + 0.99 + -0.67x = 11.66 + 0.99

Combine like terms: -0.99 + 0.99 = 0.00
0.00 + -0.67x = 11.66 + 0.99
-0.67x = 11.66 + 0.99

Combine like terms: 11.66 + 0.99 = 12.65
-0.67x = 12.65

Divide each side by '-0.67'.
x = -18.88059701

Simplifying
x = -18.88059701

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