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

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


Simplifying
4x + (2 + -1x) = -3(x + 2)

Remove parenthesis around (2 + -1x)
4x + 2 + -1x = -3(x + 2)

Reorder the terms:
2 + 4x + -1x = -3(x + 2)

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

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

Solving
2 + 3x = -6 + -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.
2 + 3x + 3x = -6 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = -6 + 0
2 + 6x = -6

Add '-2' to each side of the equation.
2 + -2 + 6x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = -6 + -2
6x = -6 + -2

Combine like terms: -6 + -2 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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