6-2(x+2)=x-18

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Solution for 6-2(x+2)=x-18 equation:


Simplifying
6 + -2(x + 2) = x + -18

Reorder the terms:
6 + -2(2 + x) = x + -18
6 + (2 * -2 + x * -2) = x + -18
6 + (-4 + -2x) = x + -18

Combine like terms: 6 + -4 = 2
2 + -2x = x + -18

Reorder the terms:
2 + -2x = -18 + x

Solving
2 + -2x = -18 + 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 + -2x + -1x = -18 + x + -1x

Combine like terms: -2x + -1x = -3x
2 + -3x = -18 + x + -1x

Combine like terms: x + -1x = 0
2 + -3x = -18 + 0
2 + -3x = -18

Add '-2' to each side of the equation.
2 + -2 + -3x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -18 + -2
-3x = -18 + -2

Combine like terms: -18 + -2 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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