3(x+5)=2[x-(9-x)]

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Solution for 3(x+5)=2[x-(9-x)] equation: 


Simplifying
3(x + 5) = 2[x + -1(9 + -1x)]

Reorder the terms:
3(5 + x) = 2[x + -1(9 + -1x)]
(5 * 3 + x * 3) = 2[x + -1(9 + -1x)]
(15 + 3x) = 2[x + -1(9 + -1x)]
15 + 3x = 2[x + (9 * -1 + -1x * -1)]
15 + 3x = 2[x + (-9 + 1x)]

Reorder the terms:
15 + 3x = 2[-9 + x + 1x]

Combine like terms: x + 1x = 2x
15 + 3x = 2[-9 + 2x]
15 + 3x = [-9 * 2 + 2x * 2]
15 + 3x = [-18 + 4x]

Solving
15 + 3x = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 3x + -4x = -18 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -1x = -18 + 0
15 + -1x = -18

Add '-15' to each side of the equation.
15 + -15 + -1x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -18 + -15
-1x = -18 + -15

Combine like terms: -18 + -15 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33

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