(59-x)=7(11-x)

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Solution for (59-x)=7(11-x) equation:


Simplifying
(59 + -1x) = 7(11 + -1x)

Remove parenthesis around (59 + -1x)
59 + -1x = 7(11 + -1x)
59 + -1x = (11 * 7 + -1x * 7)
59 + -1x = (77 + -7x)

Solving
59 + -1x = 77 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
59 + -1x + 7x = 77 + -7x + 7x

Combine like terms: -1x + 7x = 6x
59 + 6x = 77 + -7x + 7x

Combine like terms: -7x + 7x = 0
59 + 6x = 77 + 0
59 + 6x = 77

Add '-59' to each side of the equation.
59 + -59 + 6x = 77 + -59

Combine like terms: 59 + -59 = 0
0 + 6x = 77 + -59
6x = 77 + -59

Combine like terms: 77 + -59 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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