5(x+9)-6(8x+3)=-44(x-1)+2

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Solution for 5(x+9)-6(8x+3)=-44(x-1)+2 equation:


Simplifying
5(x + 9) + -6(8x + 3) = -44(x + -1) + 2

Reorder the terms:
5(9 + x) + -6(8x + 3) = -44(x + -1) + 2
(9 * 5 + x * 5) + -6(8x + 3) = -44(x + -1) + 2
(45 + 5x) + -6(8x + 3) = -44(x + -1) + 2

Reorder the terms:
45 + 5x + -6(3 + 8x) = -44(x + -1) + 2
45 + 5x + (3 * -6 + 8x * -6) = -44(x + -1) + 2
45 + 5x + (-18 + -48x) = -44(x + -1) + 2

Reorder the terms:
45 + -18 + 5x + -48x = -44(x + -1) + 2

Combine like terms: 45 + -18 = 27
27 + 5x + -48x = -44(x + -1) + 2

Combine like terms: 5x + -48x = -43x
27 + -43x = -44(x + -1) + 2

Reorder the terms:
27 + -43x = -44(-1 + x) + 2
27 + -43x = (-1 * -44 + x * -44) + 2
27 + -43x = (44 + -44x) + 2

Reorder the terms:
27 + -43x = 44 + 2 + -44x

Combine like terms: 44 + 2 = 46
27 + -43x = 46 + -44x

Solving
27 + -43x = 46 + -44x

Solving for variable 'x'.

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

Add '44x' to each side of the equation.
27 + -43x + 44x = 46 + -44x + 44x

Combine like terms: -43x + 44x = 1x
27 + 1x = 46 + -44x + 44x

Combine like terms: -44x + 44x = 0
27 + 1x = 46 + 0
27 + 1x = 46

Add '-27' to each side of the equation.
27 + -27 + 1x = 46 + -27

Combine like terms: 27 + -27 = 0
0 + 1x = 46 + -27
1x = 46 + -27

Combine like terms: 46 + -27 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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