11(x+2)=14(x-4)

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Solution for 11(x+2)=14(x-4) equation:


Simplifying
11(x + 2) = 14(x + -4)

Reorder the terms:
11(2 + x) = 14(x + -4)
(2 * 11 + x * 11) = 14(x + -4)
(22 + 11x) = 14(x + -4)

Reorder the terms:
22 + 11x = 14(-4 + x)
22 + 11x = (-4 * 14 + x * 14)
22 + 11x = (-56 + 14x)

Solving
22 + 11x = -56 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
22 + 11x + -14x = -56 + 14x + -14x

Combine like terms: 11x + -14x = -3x
22 + -3x = -56 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -3x = -56 + 0
22 + -3x = -56

Add '-22' to each side of the equation.
22 + -22 + -3x = -56 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = -56 + -22
-3x = -56 + -22

Combine like terms: -56 + -22 = -78
-3x = -78

Divide each side by '-3'.
x = 26

Simplifying
x = 26

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