(x-2x+3)+x=3(x+4)

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Solution for (x-2x+3)+x=3(x+4) equation:


Simplifying
(x + -2x + 3) + x = 3(x + 4)

Reorder the terms:
(3 + x + -2x) + x = 3(x + 4)

Combine like terms: x + -2x = -1x
(3 + -1x) + x = 3(x + 4)

Remove parenthesis around (3 + -1x)
3 + -1x + x = 3(x + 4)

Combine like terms: -1x + x = 0
3 + 0 = 3(x + 4)
3 = 3(x + 4)

Reorder the terms:
3 = 3(4 + x)
3 = (4 * 3 + x * 3)
3 = (12 + 3x)

Solving
3 = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -3x = 12 + 0
3 + -3x = 12

Add '-3' to each side of the equation.
3 + -3 + -3x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 12 + -3
-3x = 12 + -3

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

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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