7(7+(x-7))=6(6+(x-4))

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Solution for 7(7+(x-7))=6(6+(x-4)) equation:


Simplifying
7(7 + (x + -7)) = 6(6 + (x + -4))

Reorder the terms:
7(7 + (-7 + x)) = 6(6 + (x + -4))

Remove parenthesis around (-7 + x)
7(7 + -7 + x) = 6(6 + (x + -4))

Combine like terms: 7 + -7 = 0
7(0 + x) = 6(6 + (x + -4))
7(x) = 6(6 + (x + -4))

Reorder the terms:
7x = 6(6 + (-4 + x))

Remove parenthesis around (-4 + x)
7x = 6(6 + -4 + x)

Combine like terms: 6 + -4 = 2
7x = 6(2 + x)
7x = (2 * 6 + x * 6)
7x = (12 + 6x)

Solving
7x = 12 + 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.
7x + -6x = 12 + 6x + -6x

Combine like terms: 7x + -6x = 1x
1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
1x = 12 + 0
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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