2(x-23)=40-3(x-3)

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Solution for 2(x-23)=40-3(x-3) equation: 


Simplifying
2(x + -23) = 40 + -3(x + -3)

Reorder the terms:
2(-23 + x) = 40 + -3(x + -3)
(-23 * 2 + x * 2) = 40 + -3(x + -3)
(-46 + 2x) = 40 + -3(x + -3)

Reorder the terms:
-46 + 2x = 40 + -3(-3 + x)
-46 + 2x = 40 + (-3 * -3 + x * -3)
-46 + 2x = 40 + (9 + -3x)

Combine like terms: 40 + 9 = 49
-46 + 2x = 49 + -3x

Solving
-46 + 2x = 49 + -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.
-46 + 2x + 3x = 49 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-46 + 5x = 49 + -3x + 3x

Combine like terms: -3x + 3x = 0
-46 + 5x = 49 + 0
-46 + 5x = 49

Add '46' to each side of the equation.
-46 + 46 + 5x = 49 + 46

Combine like terms: -46 + 46 = 0
0 + 5x = 49 + 46
5x = 49 + 46

Combine like terms: 49 + 46 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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