4(10-11x)=9(x+2)

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Solution for 4(10-11x)=9(x+2) equation: 


Simplifying
4(10 + -11x) = 9(x + 2)
(10 * 4 + -11x * 4) = 9(x + 2)
(40 + -44x) = 9(x + 2)

Reorder the terms:
40 + -44x = 9(2 + x)
40 + -44x = (2 * 9 + x * 9)
40 + -44x = (18 + 9x)

Solving
40 + -44x = 18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
40 + -44x + -9x = 18 + 9x + -9x

Combine like terms: -44x + -9x = -53x
40 + -53x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
40 + -53x = 18 + 0
40 + -53x = 18

Add '-40' to each side of the equation.
40 + -40 + -53x = 18 + -40

Combine like terms: 40 + -40 = 0
0 + -53x = 18 + -40
-53x = 18 + -40

Combine like terms: 18 + -40 = -22
-53x = -22

Divide each side by '-53'.
x = 0.4150943396

Simplifying
x = 0.4150943396

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