22(x+12)=3x+24-x

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Solution for 22(x+12)=3x+24-x equation:


Simplifying
22(x + 12) = 3x + 24 + -1x

Reorder the terms:
22(12 + x) = 3x + 24 + -1x
(12 * 22 + x * 22) = 3x + 24 + -1x
(264 + 22x) = 3x + 24 + -1x

Reorder the terms:
264 + 22x = 24 + 3x + -1x

Combine like terms: 3x + -1x = 2x
264 + 22x = 24 + 2x

Solving
264 + 22x = 24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
264 + 22x + -2x = 24 + 2x + -2x

Combine like terms: 22x + -2x = 20x
264 + 20x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
264 + 20x = 24 + 0
264 + 20x = 24

Add '-264' to each side of the equation.
264 + -264 + 20x = 24 + -264

Combine like terms: 264 + -264 = 0
0 + 20x = 24 + -264
20x = 24 + -264

Combine like terms: 24 + -264 = -240
20x = -240

Divide each side by '20'.
x = -12

Simplifying
x = -12

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