54-(5x+11)=5(x+2)+x

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Solution for 54-(5x+11)=5(x+2)+x equation:


Simplifying
54 + -1(5x + 11) = 5(x + 2) + x

Reorder the terms:
54 + -1(11 + 5x) = 5(x + 2) + x
54 + (11 * -1 + 5x * -1) = 5(x + 2) + x
54 + (-11 + -5x) = 5(x + 2) + x

Combine like terms: 54 + -11 = 43
43 + -5x = 5(x + 2) + x

Reorder the terms:
43 + -5x = 5(2 + x) + x
43 + -5x = (2 * 5 + x * 5) + x
43 + -5x = (10 + 5x) + x

Combine like terms: 5x + x = 6x
43 + -5x = 10 + 6x

Solving
43 + -5x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
43 + -5x + -6x = 10 + 6x + -6x

Combine like terms: -5x + -6x = -11x
43 + -11x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
43 + -11x = 10 + 0
43 + -11x = 10

Add '-43' to each side of the equation.
43 + -43 + -11x = 10 + -43

Combine like terms: 43 + -43 = 0
0 + -11x = 10 + -43
-11x = 10 + -43

Combine like terms: 10 + -43 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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