3(X-22)=24-3(X-4)

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Solution for 3(X-22)=24-3(X-4) equation: 


Simplifying
3(X + -22) = 24 + -3(X + -4)

Reorder the terms:
3(-22 + X) = 24 + -3(X + -4)
(-22 * 3 + X * 3) = 24 + -3(X + -4)
(-66 + 3X) = 24 + -3(X + -4)

Reorder the terms:
-66 + 3X = 24 + -3(-4 + X)
-66 + 3X = 24 + (-4 * -3 + X * -3)
-66 + 3X = 24 + (12 + -3X)

Combine like terms: 24 + 12 = 36
-66 + 3X = 36 + -3X

Solving
-66 + 3X = 36 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
-66 + 3X + 3X = 36 + -3X + 3X

Combine like terms: 3X + 3X = 6X
-66 + 6X = 36 + -3X + 3X

Combine like terms: -3X + 3X = 0
-66 + 6X = 36 + 0
-66 + 6X = 36

Add '66' to each side of the equation.
-66 + 66 + 6X = 36 + 66

Combine like terms: -66 + 66 = 0
0 + 6X = 36 + 66
6X = 36 + 66

Combine like terms: 36 + 66 = 102
6X = 102

Divide each side by '6'.
X = 17

Simplifying
X = 17

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