-5(44x-11)=42(20-9x)

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Solution for -5(44x-11)=42(20-9x) equation:


Simplifying
-5(44x + -11) = 42(20 + -9x)

Reorder the terms:
-5(-11 + 44x) = 42(20 + -9x)
(-11 * -5 + 44x * -5) = 42(20 + -9x)
(55 + -220x) = 42(20 + -9x)
55 + -220x = (20 * 42 + -9x * 42)
55 + -220x = (840 + -378x)

Solving
55 + -220x = 840 + -378x

Solving for variable 'x'.

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

Add '378x' to each side of the equation.
55 + -220x + 378x = 840 + -378x + 378x

Combine like terms: -220x + 378x = 158x
55 + 158x = 840 + -378x + 378x

Combine like terms: -378x + 378x = 0
55 + 158x = 840 + 0
55 + 158x = 840

Add '-55' to each side of the equation.
55 + -55 + 158x = 840 + -55

Combine like terms: 55 + -55 = 0
0 + 158x = 840 + -55
158x = 840 + -55

Combine like terms: 840 + -55 = 785
158x = 785

Divide each side by '158'.
x = 4.96835443

Simplifying
x = 4.96835443

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