(x+3)-3(x-2)=16

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Solution for (x+3)-3(x-2)=16 equation:


Simplifying
(x + 3) + -3(x + -2) = 16

Reorder the terms:
(3 + x) + -3(x + -2) = 16

Remove parenthesis around (3 + x)
3 + x + -3(x + -2) = 16

Reorder the terms:
3 + x + -3(-2 + x) = 16
3 + x + (-2 * -3 + x * -3) = 16
3 + x + (6 + -3x) = 16

Reorder the terms:
3 + 6 + x + -3x = 16

Combine like terms: 3 + 6 = 9
9 + x + -3x = 16

Combine like terms: x + -3x = -2x
9 + -2x = 16

Solving
9 + -2x = 16

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 16 + -9
-2x = 16 + -9

Combine like terms: 16 + -9 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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