11=5x+6(x-11)

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Solution for 11=5x+6(x-11) equation:


Simplifying
11 = 5x + 6(x + -11)

Reorder the terms:
11 = 5x + 6(-11 + x)
11 = 5x + (-11 * 6 + x * 6)
11 = 5x + (-66 + 6x)

Reorder the terms:
11 = -66 + 5x + 6x

Combine like terms: 5x + 6x = 11x
11 = -66 + 11x

Solving
11 = -66 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
11 + -11x = -66 + 11x + -11x

Combine like terms: 11x + -11x = 0
11 + -11x = -66 + 0
11 + -11x = -66

Add '-11' to each side of the equation.
11 + -11 + -11x = -66 + -11

Combine like terms: 11 + -11 = 0
0 + -11x = -66 + -11
-11x = -66 + -11

Combine like terms: -66 + -11 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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