2(x+2)=31-7x

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Solution for 2(x+2)=31-7x equation:


Simplifying
2(x + 2) = 31 + -7x

Reorder the terms:
2(2 + x) = 31 + -7x
(2 * 2 + x * 2) = 31 + -7x
(4 + 2x) = 31 + -7x

Solving
4 + 2x = 31 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + 2x + 7x = 31 + -7x + 7x

Combine like terms: 2x + 7x = 9x
4 + 9x = 31 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 9x = 31 + 0
4 + 9x = 31

Add '-4' to each side of the equation.
4 + -4 + 9x = 31 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 31 + -4
9x = 31 + -4

Combine like terms: 31 + -4 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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