5.3(4.4-7.3x)-7.5(4.6x+6.5)=-54.706

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Solution for 5.3(4.4-7.3x)-7.5(4.6x+6.5)=-54.706 equation: 


Simplifying
5.3(4.4 + -7.3x) + -7.5(4.6x + 6.5) = -54.706
(4.4 * 5.3 + -7.3x * 5.3) + -7.5(4.6x + 6.5) = -54.706
(23.32 + -38.69x) + -7.5(4.6x + 6.5) = -54.706

Reorder the terms:
23.32 + -38.69x + -7.5(6.5 + 4.6x) = -54.706
23.32 + -38.69x + (6.5 * -7.5 + 4.6x * -7.5) = -54.706
23.32 + -38.69x + (-48.75 + -34.5x) = -54.706

Reorder the terms:
23.32 + -48.75 + -38.69x + -34.5x = -54.706

Combine like terms: 23.32 + -48.75 = -25.43
-25.43 + -38.69x + -34.5x = -54.706

Combine like terms: -38.69x + -34.5x = -73.19x
-25.43 + -73.19x = -54.706

Solving
-25.43 + -73.19x = -54.706

Solving for variable 'x'.

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

Add '25.43' to each side of the equation.
-25.43 + 25.43 + -73.19x = -54.706 + 25.43

Combine like terms: -25.43 + 25.43 = 0.00
0.00 + -73.19x = -54.706 + 25.43
-73.19x = -54.706 + 25.43

Combine like terms: -54.706 + 25.43 = -29.276
-73.19x = -29.276

Divide each side by '-73.19'.
x = 0.4

Simplifying
x = 0.4

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