57-(5x+3)=5(x+2)+x

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Solution for 57-(5x+3)=5(x+2)+x equation:


Simplifying
57 + -1(5x + 3) = 5(x + 2) + x

Reorder the terms:
57 + -1(3 + 5x) = 5(x + 2) + x
57 + (3 * -1 + 5x * -1) = 5(x + 2) + x
57 + (-3 + -5x) = 5(x + 2) + x

Combine like terms: 57 + -3 = 54
54 + -5x = 5(x + 2) + x

Reorder the terms:
54 + -5x = 5(2 + x) + x
54 + -5x = (2 * 5 + x * 5) + x
54 + -5x = (10 + 5x) + x

Combine like terms: 5x + x = 6x
54 + -5x = 10 + 6x

Solving
54 + -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.
54 + -5x + -6x = 10 + 6x + -6x

Combine like terms: -5x + -6x = -11x
54 + -11x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
54 + -11x = 10 + 0
54 + -11x = 10

Add '-54' to each side of the equation.
54 + -54 + -11x = 10 + -54

Combine like terms: 54 + -54 = 0
0 + -11x = 10 + -54
-11x = 10 + -54

Combine like terms: 10 + -54 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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