5(x-5)=-x+11

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


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

Reorder the terms:
5(-5 + x) = -1x + 11
(-5 * 5 + x * 5) = -1x + 11
(-25 + 5x) = -1x + 11

Reorder the terms:
-25 + 5x = 11 + -1x

Solving
-25 + 5x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-25 + 5x + x = 11 + -1x + x

Combine like terms: 5x + x = 6x
-25 + 6x = 11 + -1x + x

Combine like terms: -1x + x = 0
-25 + 6x = 11 + 0
-25 + 6x = 11

Add '25' to each side of the equation.
-25 + 25 + 6x = 11 + 25

Combine like terms: -25 + 25 = 0
0 + 6x = 11 + 25
6x = 11 + 25

Combine like terms: 11 + 25 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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