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

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Solution for 3x+2(x+1)=x-4 equation:


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

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

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

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

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

Solving
2 + 5x = -4 + 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.
2 + 5x + -1x = -4 + x + -1x

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

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

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

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

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

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

Simplifying
x = -1.5

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