5(x+9)=3[x-(6-x)]

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Solution for 5(x+9)=3[x-(6-x)] equation:


Simplifying
5(x + 9) = 3[x + -1(6 + -1x)]

Reorder the terms:
5(9 + x) = 3[x + -1(6 + -1x)]
(9 * 5 + x * 5) = 3[x + -1(6 + -1x)]
(45 + 5x) = 3[x + -1(6 + -1x)]
45 + 5x = 3[x + (6 * -1 + -1x * -1)]
45 + 5x = 3[x + (-6 + 1x)]

Reorder the terms:
45 + 5x = 3[-6 + x + 1x]

Combine like terms: x + 1x = 2x
45 + 5x = 3[-6 + 2x]
45 + 5x = [-6 * 3 + 2x * 3]
45 + 5x = [-18 + 6x]

Solving
45 + 5x = -18 + 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.
45 + 5x + -6x = -18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
45 + -1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
45 + -1x = -18 + 0
45 + -1x = -18

Add '-45' to each side of the equation.
45 + -45 + -1x = -18 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = -18 + -45
-1x = -18 + -45

Combine like terms: -18 + -45 = -63
-1x = -63

Divide each side by '-1'.
x = 63

Simplifying
x = 63

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