2(x+5)=6-x

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Solution for 2(x+5)=6-x equation:


Simplifying
2(x + 5) = 6 + -1x

Reorder the terms:
2(5 + x) = 6 + -1x
(5 * 2 + x * 2) = 6 + -1x
(10 + 2x) = 6 + -1x

Solving
10 + 2x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 2x + x = 6 + -1x + x

Combine like terms: 2x + x = 3x
10 + 3x = 6 + -1x + x

Combine like terms: -1x + x = 0
10 + 3x = 6 + 0
10 + 3x = 6

Add '-10' to each side of the equation.
10 + -10 + 3x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 6 + -10
3x = 6 + -10

Combine like terms: 6 + -10 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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