6.35(0.24x-2.15)=-9.83(4.36x+11.56)

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Solution for 6.35(0.24x-2.15)=-9.83(4.36x+11.56) equation:


Simplifying
6.35(0.24x + -2.15) = -9.83(4.36x + 11.56)

Reorder the terms:
6.35(-2.15 + 0.24x) = -9.83(4.36x + 11.56)
(-2.15 * 6.35 + 0.24x * 6.35) = -9.83(4.36x + 11.56)
(-13.6525 + 1.524x) = -9.83(4.36x + 11.56)

Reorder the terms:
-13.6525 + 1.524x = -9.83(11.56 + 4.36x)
-13.6525 + 1.524x = (11.56 * -9.83 + 4.36x * -9.83)
-13.6525 + 1.524x = (-113.6348 + -42.8588x)

Solving
-13.6525 + 1.524x = -113.6348 + -42.8588x

Solving for variable 'x'.

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

Add '42.8588x' to each side of the equation.
-13.6525 + 1.524x + 42.8588x = -113.6348 + -42.8588x + 42.8588x

Combine like terms: 1.524x + 42.8588x = 44.3828x
-13.6525 + 44.3828x = -113.6348 + -42.8588x + 42.8588x

Combine like terms: -42.8588x + 42.8588x = 0.0000
-13.6525 + 44.3828x = -113.6348 + 0.0000
-13.6525 + 44.3828x = -113.6348

Add '13.6525' to each side of the equation.
-13.6525 + 13.6525 + 44.3828x = -113.6348 + 13.6525

Combine like terms: -13.6525 + 13.6525 = 0.0000
0.0000 + 44.3828x = -113.6348 + 13.6525
44.3828x = -113.6348 + 13.6525

Combine like terms: -113.6348 + 13.6525 = -99.9823
44.3828x = -99.9823

Divide each side by '44.3828'.
x = -2.252726281

Simplifying
x = -2.252726281

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