2(X-30)+3(x-2)=23

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Solution for 2(X-30)+3(x-2)=23 equation: 


Simplifying
2(X + -30) + 3(x + -2) = 23

Reorder the terms:
2(-30 + X) + 3(x + -2) = 23
(-30 * 2 + X * 2) + 3(x + -2) = 23
(-60 + 2X) + 3(x + -2) = 23

Reorder the terms:
-60 + 2X + 3(-2 + x) = 23
-60 + 2X + (-2 * 3 + x * 3) = 23
-60 + 2X + (-6 + 3x) = 23

Reorder the terms:
-60 + -6 + 2X + 3x = 23

Combine like terms: -60 + -6 = -66
-66 + 2X + 3x = 23

Solving
-66 + 2X + 3x = 23

Solving for variable 'X'.

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

Add '66' to each side of the equation.
-66 + 2X + 66 + 3x = 23 + 66

Reorder the terms:
-66 + 66 + 2X + 3x = 23 + 66

Combine like terms: -66 + 66 = 0
0 + 2X + 3x = 23 + 66
2X + 3x = 23 + 66

Combine like terms: 23 + 66 = 89
2X + 3x = 89

Add '-3x' to each side of the equation.
2X + 3x + -3x = 89 + -3x

Combine like terms: 3x + -3x = 0
2X + 0 = 89 + -3x
2X = 89 + -3x

Divide each side by '2'.
X = 44.5 + -1.5x

Simplifying
X = 44.5 + -1.5x

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