5(x+9)=77-x

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Solution for 5(x+9)=77-x equation:


Simplifying
5(x + 9) = 77 + -1x

Reorder the terms:
5(9 + x) = 77 + -1x
(9 * 5 + x * 5) = 77 + -1x
(45 + 5x) = 77 + -1x

Solving
45 + 5x = 77 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
45 + 5x + x = 77 + -1x + x

Combine like terms: 5x + x = 6x
45 + 6x = 77 + -1x + x

Combine like terms: -1x + x = 0
45 + 6x = 77 + 0
45 + 6x = 77

Add '-45' to each side of the equation.
45 + -45 + 6x = 77 + -45

Combine like terms: 45 + -45 = 0
0 + 6x = 77 + -45
6x = 77 + -45

Combine like terms: 77 + -45 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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