2(x+23)=3(x-9)

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Solution for 2(x+23)=3(x-9) equation: 


Simplifying
2(x + 23) = 3(x + -9)

Reorder the terms:
2(23 + x) = 3(x + -9)
(23 * 2 + x * 2) = 3(x + -9)
(46 + 2x) = 3(x + -9)

Reorder the terms:
46 + 2x = 3(-9 + x)
46 + 2x = (-9 * 3 + x * 3)
46 + 2x = (-27 + 3x)

Solving
46 + 2x = -27 + 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 = -27 + 3x + -3x

Combine like terms: 2x + -3x = -1x
46 + -1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
46 + -1x = -27 + 0
46 + -1x = -27

Add '-46' to each side of the equation.
46 + -46 + -1x = -27 + -46

Combine like terms: 46 + -46 = 0
0 + -1x = -27 + -46
-1x = -27 + -46

Combine like terms: -27 + -46 = -73
-1x = -73

Divide each side by '-1'.
x = 73

Simplifying
x = 73

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