11-x=-5(x-9)+7

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Solution for 11-x=-5(x-9)+7 equation: 


Simplifying
11 + -1x = -5(x + -9) + 7

Reorder the terms:
11 + -1x = -5(-9 + x) + 7
11 + -1x = (-9 * -5 + x * -5) + 7
11 + -1x = (45 + -5x) + 7

Reorder the terms:
11 + -1x = 45 + 7 + -5x

Combine like terms: 45 + 7 = 52
11 + -1x = 52 + -5x

Solving
11 + -1x = 52 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
11 + -1x + 5x = 52 + -5x + 5x

Combine like terms: -1x + 5x = 4x
11 + 4x = 52 + -5x + 5x

Combine like terms: -5x + 5x = 0
11 + 4x = 52 + 0
11 + 4x = 52

Add '-11' to each side of the equation.
11 + -11 + 4x = 52 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 52 + -11
4x = 52 + -11

Combine like terms: 52 + -11 = 41
4x = 41

Divide each side by '4'.
x = 10.25

Simplifying
x = 10.25

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