11(x-5)=5(x-8)

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Solution for 11(x-5)=5(x-8) equation:


Simplifying
11(x + -5) = 5(x + -8)

Reorder the terms:
11(-5 + x) = 5(x + -8)
(-5 * 11 + x * 11) = 5(x + -8)
(-55 + 11x) = 5(x + -8)

Reorder the terms:
-55 + 11x = 5(-8 + x)
-55 + 11x = (-8 * 5 + x * 5)
-55 + 11x = (-40 + 5x)

Solving
-55 + 11x = -40 + 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.
-55 + 11x + -5x = -40 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-55 + 6x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-55 + 6x = -40 + 0
-55 + 6x = -40

Add '55' to each side of the equation.
-55 + 55 + 6x = -40 + 55

Combine like terms: -55 + 55 = 0
0 + 6x = -40 + 55
6x = -40 + 55

Combine like terms: -40 + 55 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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