3x+2(x-2)=x-6

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Solution for 3x+2(x-2)=x-6 equation:


Simplifying
3x + 2(x + -2) = x + -6

Reorder the terms:
3x + 2(-2 + x) = x + -6
3x + (-2 * 2 + x * 2) = x + -6
3x + (-4 + 2x) = x + -6

Reorder the terms:
-4 + 3x + 2x = x + -6

Combine like terms: 3x + 2x = 5x
-4 + 5x = x + -6

Reorder the terms:
-4 + 5x = -6 + x

Solving
-4 + 5x = -6 + 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 = -6 + x + -1x

Combine like terms: 5x + -1x = 4x
-4 + 4x = -6 + x + -1x

Combine like terms: x + -1x = 0
-4 + 4x = -6 + 0
-4 + 4x = -6

Add '4' to each side of the equation.
-4 + 4 + 4x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = -6 + 4
4x = -6 + 4

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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