3(7-2x)=11-44(2x-3)

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Solution for 3(7-2x)=11-44(2x-3) equation:


Simplifying
3(7 + -2x) = 11 + -44(2x + -3)
(7 * 3 + -2x * 3) = 11 + -44(2x + -3)
(21 + -6x) = 11 + -44(2x + -3)

Reorder the terms:
21 + -6x = 11 + -44(-3 + 2x)
21 + -6x = 11 + (-3 * -44 + 2x * -44)
21 + -6x = 11 + (132 + -88x)

Combine like terms: 11 + 132 = 143
21 + -6x = 143 + -88x

Solving
21 + -6x = 143 + -88x

Solving for variable 'x'.

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

Add '88x' to each side of the equation.
21 + -6x + 88x = 143 + -88x + 88x

Combine like terms: -6x + 88x = 82x
21 + 82x = 143 + -88x + 88x

Combine like terms: -88x + 88x = 0
21 + 82x = 143 + 0
21 + 82x = 143

Add '-21' to each side of the equation.
21 + -21 + 82x = 143 + -21

Combine like terms: 21 + -21 = 0
0 + 82x = 143 + -21
82x = 143 + -21

Combine like terms: 143 + -21 = 122
82x = 122

Divide each side by '82'.
x = 1.487804878

Simplifying
x = 1.487804878

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