20(-5x+18)=22(x-3)

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Solution for 20(-5x+18)=22(x-3) equation:


Simplifying
20(-5x + 18) = 22(x + -3)

Reorder the terms:
20(18 + -5x) = 22(x + -3)
(18 * 20 + -5x * 20) = 22(x + -3)
(360 + -100x) = 22(x + -3)

Reorder the terms:
360 + -100x = 22(-3 + x)
360 + -100x = (-3 * 22 + x * 22)
360 + -100x = (-66 + 22x)

Solving
360 + -100x = -66 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
360 + -100x + -22x = -66 + 22x + -22x

Combine like terms: -100x + -22x = -122x
360 + -122x = -66 + 22x + -22x

Combine like terms: 22x + -22x = 0
360 + -122x = -66 + 0
360 + -122x = -66

Add '-360' to each side of the equation.
360 + -360 + -122x = -66 + -360

Combine like terms: 360 + -360 = 0
0 + -122x = -66 + -360
-122x = -66 + -360

Combine like terms: -66 + -360 = -426
-122x = -426

Divide each side by '-122'.
x = 3.491803279

Simplifying
x = 3.491803279

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