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

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

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

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

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

Combine like terms: x + 1x = 2x
36 + 9x = 5(-5 + 2x)
36 + 9x = (-5 * 5 + 2x * 5)
36 + 9x = (-25 + 10x)

Solving
36 + 9x = -25 + 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 = -25 + 10x + -10x

Combine like terms: 9x + -10x = -1x
36 + -1x = -25 + 10x + -10x

Combine like terms: 10x + -10x = 0
36 + -1x = -25 + 0
36 + -1x = -25

Add '-36' to each side of the equation.
36 + -36 + -1x = -25 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = -25 + -36
-1x = -25 + -36

Combine like terms: -25 + -36 = -61
-1x = -61

Divide each side by '-1'.
x = 61

Simplifying
x = 61