9(x+4)=5(x-(7-x))

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Solution for 9(x+4)=5(x-(7-x)) equation: 


Simplifying
9(x + 4) = 5(x + -1(7 + -1x))

Reorder the terms:
9(4 + x) = 5(x + -1(7 + -1x))
(4 * 9 + x * 9) = 5(x + -1(7 + -1x))
(36 + 9x) = 5(x + -1(7 + -1x))
36 + 9x = 5(x + (7 * -1 + -1x * -1))
36 + 9x = 5(x + (-7 + 1x))

Reorder the terms:
36 + 9x = 5(-7 + x + 1x)

Combine like terms: x + 1x = 2x
36 + 9x = 5(-7 + 2x)
36 + 9x = (-7 * 5 + 2x * 5)
36 + 9x = (-35 + 10x)

Solving
36 + 9x = -35 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
36 + 9x + -10x = -35 + 10x + -10x

Combine like terms: 9x + -10x = -1x
36 + -1x = -35 + 10x + -10x

Combine like terms: 10x + -10x = 0
36 + -1x = -35 + 0
36 + -1x = -35

Add '-36' to each side of the equation.
36 + -36 + -1x = -35 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = -35 + -36
-1x = -35 + -36

Combine like terms: -35 + -36 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71

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