5(9-4x-4x)+9(2x+5)=24

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Solution for 5(9-4x-4x)+9(2x+5)=24 equation:


Simplifying
5(9 + -4x + -4x) + 9(2x + 5) = 24

Combine like terms: -4x + -4x = -8x
5(9 + -8x) + 9(2x + 5) = 24
(9 * 5 + -8x * 5) + 9(2x + 5) = 24
(45 + -40x) + 9(2x + 5) = 24

Reorder the terms:
45 + -40x + 9(5 + 2x) = 24
45 + -40x + (5 * 9 + 2x * 9) = 24
45 + -40x + (45 + 18x) = 24

Reorder the terms:
45 + 45 + -40x + 18x = 24

Combine like terms: 45 + 45 = 90
90 + -40x + 18x = 24

Combine like terms: -40x + 18x = -22x
90 + -22x = 24

Solving
90 + -22x = 24

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + -22x = 24 + -90

Combine like terms: 90 + -90 = 0
0 + -22x = 24 + -90
-22x = 24 + -90

Combine like terms: 24 + -90 = -66
-22x = -66

Divide each side by '-22'.
x = 3

Simplifying
x = 3

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