(X-3)-(2X-13)=3

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Solution for (X-3)-(2X-13)=3 equation:


Simplifying
(X + -3) + -1(2X + -13) = 3

Reorder the terms:
(-3 + X) + -1(2X + -13) = 3

Remove parenthesis around (-3 + X)
-3 + X + -1(2X + -13) = 3

Reorder the terms:
-3 + X + -1(-13 + 2X) = 3
-3 + X + (-13 * -1 + 2X * -1) = 3
-3 + X + (13 + -2X) = 3

Reorder the terms:
-3 + 13 + X + -2X = 3

Combine like terms: -3 + 13 = 10
10 + X + -2X = 3

Combine like terms: X + -2X = -1X
10 + -1X = 3

Solving
10 + -1X = 3

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 3 + -10
-1X = 3 + -10

Combine like terms: 3 + -10 = -7
-1X = -7

Divide each side by '-1'.
X = 7

Simplifying
X = 7

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