22(x+2)=24(x-2)

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Solution for 22(x+2)=24(x-2) equation:


Simplifying
22(x + 2) = 24(x + -2)

Reorder the terms:
22(2 + x) = 24(x + -2)
(2 * 22 + x * 22) = 24(x + -2)
(44 + 22x) = 24(x + -2)

Reorder the terms:
44 + 22x = 24(-2 + x)
44 + 22x = (-2 * 24 + x * 24)
44 + 22x = (-48 + 24x)

Solving
44 + 22x = -48 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
44 + 22x + -24x = -48 + 24x + -24x

Combine like terms: 22x + -24x = -2x
44 + -2x = -48 + 24x + -24x

Combine like terms: 24x + -24x = 0
44 + -2x = -48 + 0
44 + -2x = -48

Add '-44' to each side of the equation.
44 + -44 + -2x = -48 + -44

Combine like terms: 44 + -44 = 0
0 + -2x = -48 + -44
-2x = -48 + -44

Combine like terms: -48 + -44 = -92
-2x = -92

Divide each side by '-2'.
x = 46

Simplifying
x = 46

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