5.33(2.5x-6)-1.33=4(x-6)-.5

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Solution for 5.33(2.5x-6)-1.33=4(x-6)-.5 equation: 


Simplifying
5.33(2.5x + -6) + -1.33 = 4(x + -6) + -0.5

Reorder the terms:
5.33(-6 + 2.5x) + -1.33 = 4(x + -6) + -0.5
(-6 * 5.33 + 2.5x * 5.33) + -1.33 = 4(x + -6) + -0.5
(-31.98 + 13.325x) + -1.33 = 4(x + -6) + -0.5

Reorder the terms:
-31.98 + -1.33 + 13.325x = 4(x + -6) + -0.5

Combine like terms: -31.98 + -1.33 = -33.31
-33.31 + 13.325x = 4(x + -6) + -0.5

Reorder the terms:
-33.31 + 13.325x = 4(-6 + x) + -0.5
-33.31 + 13.325x = (-6 * 4 + x * 4) + -0.5
-33.31 + 13.325x = (-24 + 4x) + -0.5

Reorder the terms:
-33.31 + 13.325x = -24 + -0.5 + 4x

Combine like terms: -24 + -0.5 = -24.5
-33.31 + 13.325x = -24.5 + 4x

Solving
-33.31 + 13.325x = -24.5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-33.31 + 13.325x + -4x = -24.5 + 4x + -4x

Combine like terms: 13.325x + -4x = 9.325x
-33.31 + 9.325x = -24.5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-33.31 + 9.325x = -24.5 + 0
-33.31 + 9.325x = -24.5

Add '33.31' to each side of the equation.
-33.31 + 33.31 + 9.325x = -24.5 + 33.31

Combine like terms: -33.31 + 33.31 = 0.00
0.00 + 9.325x = -24.5 + 33.31
9.325x = -24.5 + 33.31

Combine like terms: -24.5 + 33.31 = 8.81
9.325x = 8.81

Divide each side by '9.325'.
x = 0.944772118

Simplifying
x = 0.944772118

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