5x+5(x-11)=5(x-10)

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Solution for 5x+5(x-11)=5(x-10) equation:


Simplifying
5x + 5(x + -11) = 5(x + -10)

Reorder the terms:
5x + 5(-11 + x) = 5(x + -10)
5x + (-11 * 5 + x * 5) = 5(x + -10)
5x + (-55 + 5x) = 5(x + -10)

Reorder the terms:
-55 + 5x + 5x = 5(x + -10)

Combine like terms: 5x + 5x = 10x
-55 + 10x = 5(x + -10)

Reorder the terms:
-55 + 10x = 5(-10 + x)
-55 + 10x = (-10 * 5 + x * 5)
-55 + 10x = (-50 + 5x)

Solving
-55 + 10x = -50 + 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 + 10x + -5x = -50 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-55 + 5x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
-55 + 5x = -50 + 0
-55 + 5x = -50

Add '55' to each side of the equation.
-55 + 55 + 5x = -50 + 55

Combine like terms: -55 + 55 = 0
0 + 5x = -50 + 55
5x = -50 + 55

Combine like terms: -50 + 55 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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