3(x-23)=39-3(x-2)

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Solution for 3(x-23)=39-3(x-2) equation: 


Simplifying
3(x + -23) = 39 + -3(x + -2)

Reorder the terms:
3(-23 + x) = 39 + -3(x + -2)
(-23 * 3 + x * 3) = 39 + -3(x + -2)
(-69 + 3x) = 39 + -3(x + -2)

Reorder the terms:
-69 + 3x = 39 + -3(-2 + x)
-69 + 3x = 39 + (-2 * -3 + x * -3)
-69 + 3x = 39 + (6 + -3x)

Combine like terms: 39 + 6 = 45
-69 + 3x = 45 + -3x

Solving
-69 + 3x = 45 + -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.
-69 + 3x + 3x = 45 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-69 + 6x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-69 + 6x = 45 + 0
-69 + 6x = 45

Add '69' to each side of the equation.
-69 + 69 + 6x = 45 + 69

Combine like terms: -69 + 69 = 0
0 + 6x = 45 + 69
6x = 45 + 69

Combine like terms: 45 + 69 = 114
6x = 114

Divide each side by '6'.
x = 19

Simplifying
x = 19

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