71-(5x+3)=5(x+7)+x

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Solution for 71-(5x+3)=5(x+7)+x equation:


Simplifying
71 + -1(5x + 3) = 5(x + 7) + x

Reorder the terms:
71 + -1(3 + 5x) = 5(x + 7) + x
71 + (3 * -1 + 5x * -1) = 5(x + 7) + x
71 + (-3 + -5x) = 5(x + 7) + x

Combine like terms: 71 + -3 = 68
68 + -5x = 5(x + 7) + x

Reorder the terms:
68 + -5x = 5(7 + x) + x
68 + -5x = (7 * 5 + x * 5) + x
68 + -5x = (35 + 5x) + x

Combine like terms: 5x + x = 6x
68 + -5x = 35 + 6x

Solving
68 + -5x = 35 + 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.
68 + -5x + -6x = 35 + 6x + -6x

Combine like terms: -5x + -6x = -11x
68 + -11x = 35 + 6x + -6x

Combine like terms: 6x + -6x = 0
68 + -11x = 35 + 0
68 + -11x = 35

Add '-68' to each side of the equation.
68 + -68 + -11x = 35 + -68

Combine like terms: 68 + -68 = 0
0 + -11x = 35 + -68
-11x = 35 + -68

Combine like terms: 35 + -68 = -33
-11x = -33

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

Simplifying
x = 3

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