11=3(X-2)-(X-7)

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Solution for 11=3(X-2)-(X-7) equation:


Simplifying
11 = 3(X + -2) + -1(X + -7)

Reorder the terms:
11 = 3(-2 + X) + -1(X + -7)
11 = (-2 * 3 + X * 3) + -1(X + -7)
11 = (-6 + 3X) + -1(X + -7)

Reorder the terms:
11 = -6 + 3X + -1(-7 + X)
11 = -6 + 3X + (-7 * -1 + X * -1)
11 = -6 + 3X + (7 + -1X)

Reorder the terms:
11 = -6 + 7 + 3X + -1X

Combine like terms: -6 + 7 = 1
11 = 1 + 3X + -1X

Combine like terms: 3X + -1X = 2X
11 = 1 + 2X

Solving
11 = 1 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
11 + -2X = 1 + 2X + -2X

Combine like terms: 2X + -2X = 0
11 + -2X = 1 + 0
11 + -2X = 1

Add '-11' to each side of the equation.
11 + -11 + -2X = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -2X = 1 + -11
-2X = 1 + -11

Combine like terms: 1 + -11 = -10
-2X = -10

Divide each side by '-2'.
X = 5

Simplifying
X = 5

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