17(x+3)=6(x+7)+31

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Solution for 17(x+3)=6(x+7)+31 equation: 


Simplifying
17(x + 3) = 6(x + 7) + 31

Reorder the terms:
17(3 + x) = 6(x + 7) + 31
(3 * 17 + x * 17) = 6(x + 7) + 31
(51 + 17x) = 6(x + 7) + 31

Reorder the terms:
51 + 17x = 6(7 + x) + 31
51 + 17x = (7 * 6 + x * 6) + 31
51 + 17x = (42 + 6x) + 31

Reorder the terms:
51 + 17x = 42 + 31 + 6x

Combine like terms: 42 + 31 = 73
51 + 17x = 73 + 6x

Solving
51 + 17x = 73 + 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.
51 + 17x + -6x = 73 + 6x + -6x

Combine like terms: 17x + -6x = 11x
51 + 11x = 73 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + 11x = 73 + 0
51 + 11x = 73

Add '-51' to each side of the equation.
51 + -51 + 11x = 73 + -51

Combine like terms: 51 + -51 = 0
0 + 11x = 73 + -51
11x = 73 + -51

Combine like terms: 73 + -51 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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