19.5(13.3-4.4x)=7.2(0.8x-11.6)

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Solution for 19.5(13.3-4.4x)=7.2(0.8x-11.6) equation:


Simplifying
19.5(13.3 + -4.4x) = 7.2(0.8x + -11.6)
(13.3 * 19.5 + -4.4x * 19.5) = 7.2(0.8x + -11.6)
(259.35 + -85.8x) = 7.2(0.8x + -11.6)

Reorder the terms:
259.35 + -85.8x = 7.2(-11.6 + 0.8x)
259.35 + -85.8x = (-11.6 * 7.2 + 0.8x * 7.2)
259.35 + -85.8x = (-83.52 + 5.76x)

Solving
259.35 + -85.8x = -83.52 + 5.76x

Solving for variable 'x'.

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

Add '-5.76x' to each side of the equation.
259.35 + -85.8x + -5.76x = -83.52 + 5.76x + -5.76x

Combine like terms: -85.8x + -5.76x = -91.56x
259.35 + -91.56x = -83.52 + 5.76x + -5.76x

Combine like terms: 5.76x + -5.76x = 0.00
259.35 + -91.56x = -83.52 + 0.00
259.35 + -91.56x = -83.52

Add '-259.35' to each side of the equation.
259.35 + -259.35 + -91.56x = -83.52 + -259.35

Combine like terms: 259.35 + -259.35 = 0.00
0.00 + -91.56x = -83.52 + -259.35
-91.56x = -83.52 + -259.35

Combine like terms: -83.52 + -259.35 = -342.87
-91.56x = -342.87

Divide each side by '-91.56'.
x = 3.744757536

Simplifying
x = 3.744757536

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