43+13x-x(247x-1)=57-7x+22-x(247x-1)

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Solution for 43+13x-x(247x-1)=57-7x+22-x(247x-1) equation: 


Simplifying
43 + 13x + -1x(247x + -1) = 57 + -7x + 22 + -1x(247x + -1)

Reorder the terms:
43 + 13x + -1x(-1 + 247x) = 57 + -7x + 22 + -1x(247x + -1)
43 + 13x + (-1 * -1x + 247x * -1x) = 57 + -7x + 22 + -1x(247x + -1)
43 + 13x + (1x + -247x2) = 57 + -7x + 22 + -1x(247x + -1)

Combine like terms: 13x + 1x = 14x
43 + 14x + -247x2 = 57 + -7x + 22 + -1x(247x + -1)

Reorder the terms:
43 + 14x + -247x2 = 57 + -7x + 22 + -1x(-1 + 247x)
43 + 14x + -247x2 = 57 + -7x + 22 + (-1 * -1x + 247x * -1x)
43 + 14x + -247x2 = 57 + -7x + 22 + (1x + -247x2)

Reorder the terms:
43 + 14x + -247x2 = 57 + 22 + -7x + 1x + -247x2

Combine like terms: 57 + 22 = 79
43 + 14x + -247x2 = 79 + -7x + 1x + -247x2

Combine like terms: -7x + 1x = -6x
43 + 14x + -247x2 = 79 + -6x + -247x2

Add '247x2' to each side of the equation.
43 + 14x + -247x2 + 247x2 = 79 + -6x + -247x2 + 247x2

Combine like terms: -247x2 + 247x2 = 0
43 + 14x + 0 = 79 + -6x + -247x2 + 247x2
43 + 14x = 79 + -6x + -247x2 + 247x2

Combine like terms: -247x2 + 247x2 = 0
43 + 14x = 79 + -6x + 0
43 + 14x = 79 + -6x

Solving
43 + 14x = 79 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
43 + 14x + 6x = 79 + -6x + 6x

Combine like terms: 14x + 6x = 20x
43 + 20x = 79 + -6x + 6x

Combine like terms: -6x + 6x = 0
43 + 20x = 79 + 0
43 + 20x = 79

Add '-43' to each side of the equation.
43 + -43 + 20x = 79 + -43

Combine like terms: 43 + -43 = 0
0 + 20x = 79 + -43
20x = 79 + -43

Combine like terms: 79 + -43 = 36
20x = 36

Divide each side by '20'.
x = 1.8

Simplifying
x = 1.8

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