11(3+x)=99+5(x+1)-5

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Solution for 11(3+x)=99+5(x+1)-5 equation: 


Simplifying
11(3 + x) = 99 + 5(x + 1) + -5
(3 * 11 + x * 11) = 99 + 5(x + 1) + -5
(33 + 11x) = 99 + 5(x + 1) + -5

Reorder the terms:
33 + 11x = 99 + 5(1 + x) + -5
33 + 11x = 99 + (1 * 5 + x * 5) + -5
33 + 11x = 99 + (5 + 5x) + -5

Reorder the terms:
33 + 11x = 99 + 5 + -5 + 5x

Combine like terms: 99 + 5 = 104
33 + 11x = 104 + -5 + 5x

Combine like terms: 104 + -5 = 99
33 + 11x = 99 + 5x

Solving
33 + 11x = 99 + 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.
33 + 11x + -5x = 99 + 5x + -5x

Combine like terms: 11x + -5x = 6x
33 + 6x = 99 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + 6x = 99 + 0
33 + 6x = 99

Add '-33' to each side of the equation.
33 + -33 + 6x = 99 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = 99 + -33
6x = 99 + -33

Combine like terms: 99 + -33 = 66
6x = 66

Divide each side by '6'.
x = 11

Simplifying
x = 11

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