6+2(x+2)=-x+31

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Solution for 6+2(x+2)=-x+31 equation: 


Simplifying
6 + 2(x + 2) = -1x + 31

Reorder the terms:
6 + 2(2 + x) = -1x + 31
6 + (2 * 2 + x * 2) = -1x + 31
6 + (4 + 2x) = -1x + 31

Combine like terms: 6 + 4 = 10
10 + 2x = -1x + 31

Reorder the terms:
10 + 2x = 31 + -1x

Solving
10 + 2x = 31 + -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 = 31 + -1x + x

Combine like terms: 2x + x = 3x
10 + 3x = 31 + -1x + x

Combine like terms: -1x + x = 0
10 + 3x = 31 + 0
10 + 3x = 31

Add '-10' to each side of the equation.
10 + -10 + 3x = 31 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 31 + -10
3x = 31 + -10

Combine like terms: 31 + -10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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