2(x+5)+(x-4)=31

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Solution for 2(x+5)+(x-4)=31 equation:


Simplifying
2(x + 5) + (x + -4) = 31

Reorder the terms:
2(5 + x) + (x + -4) = 31
(5 * 2 + x * 2) + (x + -4) = 31
(10 + 2x) + (x + -4) = 31

Reorder the terms:
10 + 2x + (-4 + x) = 31

Remove parenthesis around (-4 + x)
10 + 2x + -4 + x = 31

Reorder the terms:
10 + -4 + 2x + x = 31

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

Combine like terms: 2x + x = 3x
6 + 3x = 31

Solving
6 + 3x = 31

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 31 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 31 + -6
3x = 31 + -6

Combine like terms: 31 + -6 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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