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

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


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

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

Remove parenthesis around (4 + 3x)
2x + 4 + 3x = (x + -2)

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

Combine like terms: 2x + 3x = 5x
4 + 5x = (x + -2)

Reorder the terms:
4 + 5x = (-2 + x)

Remove parenthesis around (-2 + x)
4 + 5x = -2 + x

Solving
4 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
4 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
4 + 4x = -2 + 0
4 + 4x = -2

Add '-4' to each side of the equation.
4 + -4 + 4x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -2 + -4
4x = -2 + -4

Combine like terms: -2 + -4 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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