2(11-x)=4(x-2)

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


Simplifying
2(11 + -1x) = 4(x + -2)
(11 * 2 + -1x * 2) = 4(x + -2)
(22 + -2x) = 4(x + -2)

Reorder the terms:
22 + -2x = 4(-2 + x)
22 + -2x = (-2 * 4 + x * 4)
22 + -2x = (-8 + 4x)

Solving
22 + -2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + -2x + -4x = -8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
22 + -6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -6x = -8 + 0
22 + -6x = -8

Add '-22' to each side of the equation.
22 + -22 + -6x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = -8 + -22
-6x = -8 + -22

Combine like terms: -8 + -22 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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