(3+x)=3(x-3)-4x

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Solution for (3+x)=3(x-3)-4x equation:


Simplifying
(3 + x) = 3(x + -3) + -4x

Remove parenthesis around (3 + x)
3 + x = 3(x + -3) + -4x

Reorder the terms:
3 + x = 3(-3 + x) + -4x
3 + x = (-3 * 3 + x * 3) + -4x
3 + x = (-9 + 3x) + -4x

Combine like terms: 3x + -4x = -1x
3 + x = -9 + -1x

Solving
3 + x = -9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + x + x = -9 + -1x + x

Combine like terms: x + x = 2x
3 + 2x = -9 + -1x + x

Combine like terms: -1x + x = 0
3 + 2x = -9 + 0
3 + 2x = -9

Add '-3' to each side of the equation.
3 + -3 + 2x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -9 + -3
2x = -9 + -3

Combine like terms: -9 + -3 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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