.65(.56x)+(.65(.56x)-5488)+.05(.56x)=x

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Solution for .65(.56x)+(.65(.56x)-5488)+.05(.56x)=x equation:


Simplifying
0.65(0.56x) + (0.65(0.56x) + -5488) + 0.05(0.56x) = x

Remove parenthesis around (0.56x)
0.65 * 0.56x + (0.65(0.56x) + -5488) + 0.05(0.56x) = x

Multiply 0.65 * 0.56
0.364x + (0.65(0.56x) + -5488) + 0.05(0.56x) = x

Remove parenthesis around (0.56x)
0.364x + (0.65 * 0.56x + -5488) + 0.05(0.56x) = x

Multiply 0.65 * 0.56
0.364x + (0.364x + -5488) + 0.05(0.56x) = x

Reorder the terms:
0.364x + (-5488 + 0.364x) + 0.05(0.56x) = x

Remove parenthesis around (-5488 + 0.364x)
0.364x + -5488 + 0.364x + 0.05(0.56x) = x

Remove parenthesis around (0.56x)
0.364x + -5488 + 0.364x + 0.05 * 0.56x = x

Multiply 0.05 * 0.56
0.364x + -5488 + 0.364x + 0.028x = x

Reorder the terms:
-5488 + 0.364x + 0.364x + 0.028x = x

Combine like terms: 0.364x + 0.364x = 0.728x
-5488 + 0.728x + 0.028x = x

Combine like terms: 0.728x + 0.028x = 0.756x
-5488 + 0.756x = x

Solving
-5488 + 0.756x = x

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.
-5488 + 0.756x + -1x = x + -1x

Combine like terms: 0.756x + -1x = -0.244x
-5488 + -0.244x = x + -1x

Combine like terms: x + -1x = 0
-5488 + -0.244x = 0

Add '5488' to each side of the equation.
-5488 + 5488 + -0.244x = 0 + 5488

Combine like terms: -5488 + 5488 = 0
0 + -0.244x = 0 + 5488
-0.244x = 0 + 5488

Combine like terms: 0 + 5488 = 5488
-0.244x = 5488

Divide each side by '-0.244'.
x = -22491.80328

Simplifying
x = -22491.80328

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